@article {MR3514392,
    AUTHOR = {Bogdan, Krzysztof and Butko, Yana and Szczypkowski, Karol},
     TITLE = {Majorization, 4{G} {T}heorem and {S}chr\"odinger
              perturbations},
   JOURNAL = {J. Evol. Equ.},
  FJOURNAL = {Journal of Evolution Equations},
    VOLUME = {16},
      YEAR = {2016},
    NUMBER = {2},
     PAGES = {241--260},
      ISSN = {1424-3199},
   MRCLASS = {47D06 (35A08 35B25 47D08)},
  MRNUMBER = {3514392},
       DOI = {10.1007/s00028-015-0301-7},
       URL = {http://dx.doi.org/10.1007/s00028-015-0301-7},
}
		

@article {MR3460023,
    AUTHOR = {Bogdan, Krzysztof and Dyda, Bart{\l}omiej and Kim, Panki},
     TITLE = {Hardy inequalities and non-explosion results for semigroups},
   JOURNAL = {Potential Anal.},
  FJOURNAL = {Potential Analysis. An International Journal Devoted to the
              Interactions between Potential Theory, Probability Theory,
              Geometry and Functional Analysis},
    VOLUME = {44},
      YEAR = {2016},
    NUMBER = {2},
     PAGES = {229--247},
      ISSN = {0926-2601},
   MRCLASS = {31C25 (31C05 35A23)},
  MRNUMBER = {3460023},
       DOI = {10.1007/s11118-015-9507-0},
       URL = {http://dx.doi.org/10.1007/s11118-015-9507-0},
}
		

@article {MR3350043,
    AUTHOR = {Bogdan, Krzysztof and Grzywny, Tomasz and Ryznar, Micha{\l}},
     TITLE = {Barriers, exit time and survival probability for unimodal
              {L}\'evy processes},
   JOURNAL = {Probab. Theory Related Fields},
  FJOURNAL = {Probability Theory and Related Fields},
    VOLUME = {162},
      YEAR = {2015},
    NUMBER = {1-2},
     PAGES = {155--198},
      ISSN = {0178-8051},
   MRCLASS = {31B25 (60J35 60J45 60J50 60J75)},
  MRNUMBER = {3350043},
MRREVIEWER = {Ren{\'e} L. Schilling},
       DOI = {10.1007/s00440-014-0568-6},
       URL = {http://dx.doi.org/10.1007/s00440-014-0568-6},
}
		

@incollection {MR3295773,
    AUTHOR = {Bogdan, Krzysztof and Sydor, Sebastian},
     TITLE = {On nonlocal perturbations of integral kernels},
 BOOKTITLE = {Semigroups of operators---theory and applications},
    SERIES = {Springer Proc. Math. Stat.},
    VOLUME = {113},
     PAGES = {27--42},
 PUBLISHER = {Springer, Cham},
      YEAR = {2015},
   MRCLASS = {47F05 (47A55 60J35)},
  MRNUMBER = {3295773},
MRREVIEWER = {Alexei Yu. Konstantinov},
       DOI = {10.1007/978-3-319-12145-1_2},
       URL = {http://dx.doi.org/10.1007/978-3-319-12145-1_2},
}
		

@article {MR3339224,
    AUTHOR = {Bogdan, Krzysztof and Siudeja, Bart{\l}omiej and St{\'o}s,
              Andrzej},
     TITLE = {Martin kernel for fractional {L}aplacian in narrow cones},
   JOURNAL = {Potential Anal.},
  FJOURNAL = {Potential Analysis. An International Journal Devoted to the
              Interactions between Potential Theory, Probability Theory,
              Geometry and Functional Analysis},
    VOLUME = {42},
      YEAR = {2015},
    NUMBER = {4},
     PAGES = {839--859},
      ISSN = {0926-2601},
   MRCLASS = {31B25 (45K05 60J45)},
  MRNUMBER = {3339224},
MRREVIEWER = {Zoran Vondra{\v{c}}ek},
       DOI = {10.1007/s11118-014-9459-9},
       URL = {http://dx.doi.org/10.1007/s11118-014-9459-9},
}
		

@article {MR3271268,
    AUTHOR = {Bogdan, Krzysztof and Kumagai, Takashi and Kwa{\'s}nicki,
              Mateusz},
     TITLE = {Boundary {H}arnack inequality for {M}arkov processes with
              jumps},
   JOURNAL = {Trans. Amer. Math. Soc.},
  FJOURNAL = {Transactions of the American Mathematical Society},
    VOLUME = {367},
      YEAR = {2015},
    NUMBER = {1},
     PAGES = {477--517},
      ISSN = {0002-9947},
   MRCLASS = {60J50 (31E05 60J75)},
  MRNUMBER = {3271268},
MRREVIEWER = {Zoran Vondra{\v{c}}ek},
       DOI = {10.1090/S0002-9947-2014-06127-8},
       URL = {http://dx.doi.org/10.1090/S0002-9947-2014-06127-8},
}
		

@article {MR3249349,
    AUTHOR = {Bogdan, Krzysztof and Grzywny, Tomasz and Ryznar, Micha{\l}},
     TITLE = {Dirichlet heat kernel for unimodal {L}\'evy processes},
   JOURNAL = {Stochastic Process. Appl.},
  FJOURNAL = {Stochastic Processes and their Applications},
    VOLUME = {124},
      YEAR = {2014},
    NUMBER = {11},
     PAGES = {3612--3650},
      ISSN = {0304-4149},
   MRCLASS = {60J35 (31C25 60J50 60J75)},
  MRNUMBER = {3249349},
MRREVIEWER = {Tomasz {\.Z}ak},
       DOI = {10.1016/j.spa.2014.06.001},
       URL = {http://dx.doi.org/10.1016/j.spa.2014.06.001},
}
		

@article {MR3251822,
    AUTHOR = {Bogdan, Krzysztof and Dyda, Bart{\l}omiej and Luks, Tomasz},
     TITLE = {On {H}ardy spaces of local and nonlocal operators},
   JOURNAL = {Hiroshima Math. J.},
  FJOURNAL = {Hiroshima Mathematical Journal},
    VOLUME = {44},
      YEAR = {2014},
    NUMBER = {2},
     PAGES = {193--215},
      ISSN = {0018-2079},
   MRCLASS = {60J75 (31B25 42B30 60J50)},
  MRNUMBER = {3251822},
       URL = {http://projecteuclid.org/euclid.hmj/1408972907},
}
		

@article {MR3238505,
    AUTHOR = {Bogdan, Krzysztof and Komorowski, Tomasz},
     TITLE = {Principal eigenvalue of the fractional {L}aplacian with a
              large incompressible drift},
   JOURNAL = {NoDEA Nonlinear Differential Equations Appl.},
  FJOURNAL = {NoDEA. Nonlinear Differential Equations and Applications},
    VOLUME = {21},
      YEAR = {2014},
    NUMBER = {4},
     PAGES = {541--566},
      ISSN = {1021-9722},
   MRCLASS = {35R11 (35A08 35P05 47A10 60J75)},
  MRNUMBER = {3238505},
MRREVIEWER = {Luz Roncal},
       DOI = {10.1007/s00030-013-0257-7},
       URL = {http://dx.doi.org/10.1007/s00030-013-0257-7},
}
		

@article {MR3200161,
    AUTHOR = {Bogdan, Krzysztof and Szczypkowski, Karol},
     TITLE = {Gaussian estimates for {S}chr\"odinger perturbations},
   JOURNAL = {Studia Math.},
  FJOURNAL = {Studia Mathematica},
    VOLUME = {221},
      YEAR = {2014},
    NUMBER = {2},
     PAGES = {151--173},
      ISSN = {0039-3223},
   MRCLASS = {47D06 (35A08 35B25 35K08 47D08)},
  MRNUMBER = {3200161},
MRREVIEWER = {Michael A. Perelmuter},
       DOI = {10.4064/sm221-2-4},
       URL = {http://dx.doi.org/10.4064/sm221-2-4},
}
		

@article {MR3165234,
    AUTHOR = {Bogdan, Krzysztof and Grzywny, Tomasz and Ryznar, Micha{\l}},
     TITLE = {Density and tails of unimodal convolution semigroups},
   JOURNAL = {J. Funct. Anal.},
  FJOURNAL = {Journal of Functional Analysis},
    VOLUME = {266},
      YEAR = {2014},
    NUMBER = {6},
     PAGES = {3543--3571},
      ISSN = {0022-1236},
   MRCLASS = {60J35 (60G51)},
  MRNUMBER = {3165234},
MRREVIEWER = {Anita Diana Behme},
       DOI = {10.1016/j.jfa.2014.01.007},
       URL = {http://dx.doi.org/10.1016/j.jfa.2014.01.007},
}
		

@article {MR3065313,
    AUTHOR = {Bogdan, Krzysztof and Hansen, Wolfhard and Jakubowski, Tomasz},
     TITLE = {Localization and {S}chr\"odinger perturbations of kernels},
   JOURNAL = {Potential Anal.},
  FJOURNAL = {Potential Analysis. An International Journal Devoted to the
              Interactions between Potential Theory, Probability Theory,
              Geometry and Functional Analysis},
    VOLUME = {39},
      YEAR = {2013},
    NUMBER = {1},
     PAGES = {13--28},
      ISSN = {0926-2601},
     CODEN = {POANE2},
   MRCLASS = {47A55 (60J35)},
  MRNUMBER = {3065313},
MRREVIEWER = {Wojciech Bartoszek},
       DOI = {10.1007/s11118-012-9320-y},
       URL = {http://dx.doi.org/10.1007/s11118-012-9320-y},
}
		

@article {MR3021457,
    AUTHOR = {Bogdan, Krzysztof and Wojciechowski, {\L}ukasz},
     TITLE = {Parabolic martingales and non-symmetric {F}ourier multipliers},
   JOURNAL = {Probab. Math. Statist.},
  FJOURNAL = {Probability and Mathematical Statistics},
    VOLUME = {32},
      YEAR = {2012},
    NUMBER = {2},
     PAGES = {241--253},
      ISSN = {0208-4147},
   MRCLASS = {60G51 (42B15 60G15 60G46)},
  MRNUMBER = {3021457},
}
		

@article {MR3000465,
    AUTHOR = {Bogdan, Krzysztof and Jakubowski, Tomasz and Sydor, Sebastian},
     TITLE = {Estimates of perturbation series for kernels},
   JOURNAL = {J. Evol. Equ.},
  FJOURNAL = {Journal of Evolution Equations},
    VOLUME = {12},
      YEAR = {2012},
    NUMBER = {4},
     PAGES = {973--984},
      ISSN = {1424-3199},
   MRCLASS = {47A55 (35K08 35R11 60J35)},
  MRNUMBER = {3000465},
MRREVIEWER = {J{\'o}zsef Zolt{\'a}n Farkas},
       DOI = {10.1007/s00028-012-0164-0},
       URL = {http://dx.doi.org/10.1007/s00028-012-0164-0},
}
		

@article {MR2892584,
    AUTHOR = {Bogdan, Krzysztof and Jakubowski, Tomasz},
     TITLE = {Estimates of the {G}reen function for the fractional
              {L}aplacian perturbed by gradient},
   JOURNAL = {Potential Anal.},
  FJOURNAL = {Potential Analysis. An International Journal Devoted to the
              Interactions between Potential Theory, Probability Theory,
              Geometry and Functional Analysis},
    VOLUME = {36},
      YEAR = {2012},
    NUMBER = {3},
     PAGES = {455--481},
      ISSN = {0926-2601},
     CODEN = {POANE2},
   MRCLASS = {47A55 (31C15 60J35 60J50 60J75)},
  MRNUMBER = {2892584},
       DOI = {10.1007/s11118-011-9237-x},
       URL = {http://dx.doi.org/10.1007/s11118-011-9237-x},
}
		

@incollection {MR2918086,
    AUTHOR = {Ba{\~n}uelos, Rodrigo and Bielaszewski, Adam and Bogdan,
              Krzysztof},
     TITLE = {Fourier multipliers for non-symmetric {L}\'evy processes},
 BOOKTITLE = {Marcinkiewicz centenary volume},
    SERIES = {Banach Center Publ.},
    VOLUME = {95},
     PAGES = {9--25},
 PUBLISHER = {Polish Acad. Sci. Inst. Math., Warsaw},
      YEAR = {2011},
   MRCLASS = {42B15 (60G46 60G51 60H05)},
  MRNUMBER = {2918086},
MRREVIEWER = {F. M{\'o}ricz},
       DOI = {10.4064/bc95-0-1},
       URL = {http://dx.doi.org/10.4064/bc95-0-1},
}
		

@article {MR2663757,
    AUTHOR = {Bogdan, Krzysztof and Dyda, Bart{\l}omiej},
     TITLE = {The best constant in a fractional {H}ardy inequality},
   JOURNAL = {Math. Nachr.},
  FJOURNAL = {Mathematische Nachrichten},
    VOLUME = {284},
      YEAR = {2011},
    NUMBER = {5-6},
     PAGES = {629--638},
      ISSN = {0025-584X},
   MRCLASS = {26D15 (31B25 31C25 46E35)},
  MRNUMBER = {2663757},
MRREVIEWER = {Zheng Liu},
       DOI = {10.1002/mana.200810109},
       URL = {http://dx.doi.org/10.1002/mana.200810109},
}
		

@article {MR2722789,
    AUTHOR = {Bogdan, Krzysztof and Grzywny, Tomasz and Ryznar, Micha{\l}},
     TITLE = {Heat kernel estimates for the fractional {L}aplacian with
              {D}irichlet conditions},
   JOURNAL = {Ann. Probab.},
  FJOURNAL = {The Annals of Probability},
    VOLUME = {38},
      YEAR = {2010},
    NUMBER = {5},
     PAGES = {1901--1923},
      ISSN = {0091-1798},
     CODEN = {APBYAE},
   MRCLASS = {60J35 (31B25 60J50 60J75)},
  MRNUMBER = {2722789},
MRREVIEWER = {Victoria Knopova},
       DOI = {10.1214/10-AOP532},
       URL = {http://dx.doi.org/10.1214/10-AOP532},
}
		

@article {MR2602155,
    AUTHOR = {Bogdan, Krzysztof and Grzywny, Tomasz},
     TITLE = {Heat kernel of fractional {L}aplacian in cones},
   JOURNAL = {Colloq. Math.},
  FJOURNAL = {Colloquium Mathematicum},
    VOLUME = {118},
      YEAR = {2010},
    NUMBER = {2},
     PAGES = {365--377},
      ISSN = {0010-1354},
     CODEN = {CQMAAQ},
   MRCLASS = {60J35 (35K08 60G51 60J50)},
  MRNUMBER = {2602155},
MRREVIEWER = {Jan M. Swart},
       DOI = {10.4064/cm118-2-1},
       URL = {http://dx.doi.org/10.4064/cm118-2-1},
}
		

@book {MR2569321,
    AUTHOR = {Bogdan, Krzysztof and Byczkowski, Tomasz and Kulczycki,
              Tadeusz and Ryznar, Michal and Song, Renming and
              Vondra{\v{c}}ek, Zoran},
     TITLE = {Potential analysis of stable processes and its extensions},
    SERIES = {Lecture Notes in Mathematics},
    VOLUME = {1980},
      NOTE = {Edited by Piotr Graczyk and Andrzej Stos},
 PUBLISHER = {Springer-Verlag, Berlin},
      YEAR = {2009},
     PAGES = {x+187},
      ISBN = {978-3-642-02140-4},
   MRCLASS = {60J45 (31C05 31C25 35K08 35P15 60-02 60G52 60J50)},
  MRNUMBER = {2569321},
MRREVIEWER = {Wilhelm Stannat},
       DOI = {10.1007/978-3-642-02141-1},
       URL = {http://dx.doi.org/10.1007/978-3-642-02141-1},
}
		

@article {MR2457489,
    AUTHOR = {Bogdan, Krzysztof and Hansen, Wolfhard and Jakubowski, Tomasz},
     TITLE = {Time-dependent {S}chr\"odinger perturbations of transition
              densities},
   JOURNAL = {Studia Math.},
  FJOURNAL = {Studia Mathematica},
    VOLUME = {189},
      YEAR = {2008},
    NUMBER = {3},
     PAGES = {235--254},
      ISSN = {0039-3223},
   MRCLASS = {60J35 (35A08 35K05 35Q40 47A55 47N30 60G57)},
  MRNUMBER = {2457489},
MRREVIEWER = {Chuan-zhong Chen},
       DOI = {10.4064/sm189-3-3},
       URL = {http://dx.doi.org/10.4064/sm189-3-3},
}
		

@article {MR2365478,
    AUTHOR = {Bogdan, Krzysztof and Kulczycki, Tadeusz and Kwa{\'s}nicki,
              Mateusz},
     TITLE = {Estimates and structure of {$\alpha$}-harmonic functions},
   JOURNAL = {Probab. Theory Related Fields},
  FJOURNAL = {Probability Theory and Related Fields},
    VOLUME = {140},
      YEAR = {2008},
    NUMBER = {3-4},
     PAGES = {345--381},
      ISSN = {0178-8051},
     CODEN = {PTRFEU},
   MRCLASS = {31C35 (31B05 60G51 60J45 60J50)},
  MRNUMBER = {2365478},
MRREVIEWER = {Noriaki Suzuki},
       DOI = {10.1007/s00440-007-0067-0},
       URL = {http://dx.doi.org/10.1007/s00440-007-0067-0},
}
		

@article {MR2345912,
    AUTHOR = {Ba{\~n}uelos, Rodrigo and Bogdan, Krzysztof},
     TITLE = {L\'evy processes and {F}ourier multipliers},
   JOURNAL = {J. Funct. Anal.},
  FJOURNAL = {Journal of Functional Analysis},
    VOLUME = {250},
      YEAR = {2007},
    NUMBER = {1},
     PAGES = {197--213},
      ISSN = {0022-1236},
     CODEN = {JFUAAW},
   MRCLASS = {60G46 (42B20 60G51)},
  MRNUMBER = {2345912},
MRREVIEWER = {V{\'{\i}}ctor M. Rivero},
       DOI = {10.1016/j.jfa.2007.05.013},
       URL = {http://dx.doi.org/10.1016/j.jfa.2007.05.013},
}
		

@article {MR2320691,
    AUTHOR = {Bogdan, Krzysztof and Sztonyk, Pawe{\l}},
     TITLE = {Estimates of the potential kernel and {H}arnack's inequality
              for the anisotropic fractional {L}aplacian},
   JOURNAL = {Studia Math.},
  FJOURNAL = {Studia Mathematica},
    VOLUME = {181},
      YEAR = {2007},
    NUMBER = {2},
     PAGES = {101--123},
      ISSN = {0039-3223},
   MRCLASS = {31C05 (47D03 60G51 60J35 60J45)},
  MRNUMBER = {2320691},
MRREVIEWER = {Andrzej Stos},
       DOI = {10.4064/sm181-2-1},
       URL = {http://dx.doi.org/10.4064/sm181-2-1},
}
		

@article {MR2283957,
    AUTHOR = {Bogdan, Krzysztof and Jakubowski, Tomasz},
     TITLE = {Estimates of heat kernel of fractional {L}aplacian perturbed
              by gradient operators},
   JOURNAL = {Comm. Math. Phys.},
  FJOURNAL = {Communications in Mathematical Physics},
    VOLUME = {271},
      YEAR = {2007},
    NUMBER = {1},
     PAGES = {179--198},
      ISSN = {0010-3616},
     CODEN = {CMPHAY},
   MRCLASS = {47F05 (47D07 47G30 60J35)},
  MRNUMBER = {2283957},
MRREVIEWER = {J. A. Van Casteren},
       DOI = {10.1007/s00220-006-0178-y},
       URL = {http://dx.doi.org/10.1007/s00220-006-0178-y},
}
		

@article {MR2256481,
    AUTHOR = {Bogdan, K. and {\.Z}ak, T.},
     TITLE = {On {K}elvin transformation},
   JOURNAL = {J. Theoret. Probab.},
  FJOURNAL = {Journal of Theoretical Probability},
    VOLUME = {19},
      YEAR = {2006},
    NUMBER = {1},
     PAGES = {89--120},
      ISSN = {0894-9840},
     CODEN = {JTPREO},
   MRCLASS = {60J45 (31C05 60J65)},
  MRNUMBER = {2256481},
MRREVIEWER = {Victoria Knopova},
       DOI = {10.1007/s10959-006-0003-8},
       URL = {http://dx.doi.org/10.1007/s10959-006-0003-8},
}
		

@article {MR2182071,
    AUTHOR = {Bogdan, Krzysztof and Jakubowski, Tomasz},
     TITLE = {Probl\`eme de {D}irichlet pour les fonctions
              {$\alpha$}-harmoniques sur les domaines coniques},
   JOURNAL = {Ann. Math. Blaise Pascal},
  FJOURNAL = {Annales Math\'ematiques Blaise Pascal},
    VOLUME = {12},
      YEAR = {2005},
    NUMBER = {2},
     PAGES = {297--308},
      ISSN = {1259-1734},
   MRCLASS = {31C05 (31B20 35J05)},
  MRNUMBER = {2182071},
MRREVIEWER = {Eugen Popa},
       URL = {http://ambp.cedram.org/item?id=AMBP_2005__12_2_297_0},
}
		

@article {MR2163593,
    AUTHOR = {Ba{\~n}uelos, Rodrigo and Bogdan, Krzysztof},
     TITLE = {Symmetric stable processes in parabola-shaped regions},
   JOURNAL = {Proc. Amer. Math. Soc.},
  FJOURNAL = {Proceedings of the American Mathematical Society},
    VOLUME = {133},
      YEAR = {2005},
    NUMBER = {12},
     PAGES = {3581--3587 (electronic)},
      ISSN = {0002-9939},
     CODEN = {PAMYAR},
   MRCLASS = {60J45 (31B05 60G51 60J65)},
  MRNUMBER = {2163593},
MRREVIEWER = {Irene Hueter},
       DOI = {10.1090/S0002-9939-05-07923-2},
       URL = {http://dx.doi.org/10.1090/S0002-9939-05-07923-2},
}
		

@article {MR2137058,
    AUTHOR = {Bogdan, Krzysztof and Sztonyk, Pawe{\l}},
     TITLE = {Harnack's inequality for stable {L}\'evy processes},
   JOURNAL = {Potential Anal.},
  FJOURNAL = {Potential Analysis. An International Journal Devoted to the
              Interactions between Potential Theory, Probability Theory,
              Geometry and Functional Analysis},
    VOLUME = {22},
      YEAR = {2005},
    NUMBER = {2},
     PAGES = {133--150},
      ISSN = {0926-2601},
     CODEN = {POANE2},
   MRCLASS = {31C05 (60G51 60J45)},
  MRNUMBER = {2137058},
MRREVIEWER = {Wilhelm Stannat},
       DOI = {10.1007/s11118-004-0590-x},
       URL = {http://dx.doi.org/10.1007/s11118-004-0590-x},
}
		

@article {MR2075671,
    AUTHOR = {Ba{\~n}uelos, Rodrigo and Bogdan, Krzysztof},
     TITLE = {Symmetric stable processes in cones},
   JOURNAL = {Potential Anal.},
  FJOURNAL = {Potential Analysis. An International Journal Devoted to the
              Interactions between Potential Theory, Probability Theory,
              Geometry and Functional Analysis},
    VOLUME = {21},
      YEAR = {2004},
    NUMBER = {3},
     PAGES = {263--288},
      ISSN = {0926-2601},
     CODEN = {POANE2},
   MRCLASS = {60J45 (31B05)},
  MRNUMBER = {2075671},
MRREVIEWER = {Joerg-Uwe Loebus},
       DOI = {10.1023/B:POTA.0000033333.72236.dc},
       URL = {http://dx.doi.org/10.1023/B:POTA.0000033333.72236.dc},
}
		

@article {MR2013738,
    AUTHOR = {Bogdan, Krzysztof and St{\'o}s, Andrzej and Sztonyk, Pawe{\l}},
     TITLE = {Harnack inequality for stable processes on {$d$}-sets},
   JOURNAL = {Studia Math.},
  FJOURNAL = {Studia Mathematica},
    VOLUME = {158},
      YEAR = {2003},
    NUMBER = {2},
     PAGES = {163--198},
      ISSN = {0039-3223},
   MRCLASS = {60G52 (31C05 60J35 60J65)},
  MRNUMBER = {2013738},
MRREVIEWER = {Wilhelm Stannat},
       DOI = {10.4064/sm158-2-5},
       URL = {http://dx.doi.org/10.4064/sm158-2-5},
}
		

@article {MR2006232,
    AUTHOR = {Bogdan, Krzysztof and Burdzy, Krzysztof and Chen, Zhen-Qing},
     TITLE = {Censored stable processes},
   JOURNAL = {Probab. Theory Related Fields},
  FJOURNAL = {Probability Theory and Related Fields},
    VOLUME = {127},
      YEAR = {2003},
    NUMBER = {1},
     PAGES = {89--152},
      ISSN = {0178-8051},
     CODEN = {PTRFEU},
   MRCLASS = {60G52 (60G17 60J45)},
  MRNUMBER = {2006232},
MRREVIEWER = {Thierry Edmond Huillet},
       DOI = {10.1007/s00440-003-0275-1},
       URL = {http://dx.doi.org/10.1007/s00440-003-0275-1},
}
		

@article {MR1980119,
    AUTHOR = {Bogdan, Krzysztof and Dyda, Bart{\l}omiej},
     TITLE = {Relative {F}atou theorem for harmonic functions of rotation
              invariant stable processes in smooth domains},
   JOURNAL = {Studia Math.},
  FJOURNAL = {Studia Mathematica},
    VOLUME = {157},
      YEAR = {2003},
    NUMBER = {1},
     PAGES = {83--96},
      ISSN = {0039-3223},
   MRCLASS = {31B25 (60J45)},
  MRNUMBER = {1980119},
MRREVIEWER = {Roman Urban},
       DOI = {10.4064/sm157-1-7},
       URL = {http://dx.doi.org/10.4064/sm157-1-7},
}
		

@article {MR1948083,
    AUTHOR = {Bogdan, Krzysztof and St{\'o}s, Andrzej and Sztonyk, Pawe{\l}},
     TITLE = {Potential theory for {L}\'evy stable processes},
   JOURNAL = {Bull. Polish Acad. Sci. Math.},
  FJOURNAL = {Polish Academy of Sciences. Bulletin. Mathematics},
    VOLUME = {50},
      YEAR = {2002},
    NUMBER = {3},
     PAGES = {361--372},
      ISSN = {0239-7269},
     CODEN = {BAPMAM},
   MRCLASS = {60G52 (31C05 60J45)},
  MRNUMBER = {1948083},
MRREVIEWER = {M. G. Shur},
}
		

@article {MR1936936,
    AUTHOR = {Bogdan, K. and Kulczycki, T. and Nowak, Adam},
     TITLE = {Gradient estimates for harmonic and {$q$}-harmonic functions
              of symmetric stable processes},
   JOURNAL = {Illinois J. Math.},
  FJOURNAL = {Illinois Journal of Mathematics},
    VOLUME = {46},
      YEAR = {2002},
    NUMBER = {2},
     PAGES = {541--556},
      ISSN = {0019-2082},
     CODEN = {IJMTAW},
   MRCLASS = {60J45 (60G51)},
  MRNUMBER = {1936936},
MRREVIEWER = {Jutta Groos},
       URL = {http://projecteuclid.org/euclid.ijm/1258136210},
}
		

@article {MR1920996,
    AUTHOR = {Bogdan, Krzysztof and St{\'o}s, Andrzej and Sztonyk, Pawe{\l}},
     TITLE = {Harnack inequality for symmetric stable processes on fractals},
   JOURNAL = {C. R. Math. Acad. Sci. Paris},
  FJOURNAL = {Comptes Rendus Math\'ematique. Acad\'emie des Sciences. Paris},
    VOLUME = {335},
      YEAR = {2002},
    NUMBER = {1},
     PAGES = {59--63},
      ISSN = {1631-073X},
   MRCLASS = {60G52 (28A80 31C05)},
  MRNUMBER = {1920996},
MRREVIEWER = {Norbert Patzschke},
       DOI = {10.1016/S1631-073X(02)02425-1},
       URL = {http://dx.doi.org/10.1016/S1631-073X(02)02425-1},
}
		

@article {MR1893540,
    AUTHOR = {Bogdan, M. and Bogdan, K. and Futschik, A.},
     TITLE = {A data driven smooth test for circular uniformity},
   JOURNAL = {Ann. Inst. Statist. Math.},
  FJOURNAL = {Annals of the Institute of Statistical Mathematics},
    VOLUME = {54},
      YEAR = {2002},
    NUMBER = {1},
     PAGES = {29--44},
      ISSN = {0020-3157},
     CODEN = {AISXAD},
   MRCLASS = {62F10},
  MRNUMBER = {1893540},
       DOI = {10.1023/A:1016109603897},
       URL = {http://dx.doi.org/10.1023/A:1016109603897},
}
		

@article {MR1863269,
    AUTHOR = {Bogdan, Krzysztof and Byczkowski, Tomasz},
     TITLE = {On the {S}chr\"odinger operator based on the fractional
              {L}aplacian},
   JOURNAL = {Bull. Polish Acad. Sci. Math.},
  FJOURNAL = {Polish Academy of Sciences. Bulletin. Mathematics},
    VOLUME = {49},
      YEAR = {2001},
    NUMBER = {3},
     PAGES = {291--301},
      ISSN = {0239-7269},
     CODEN = {BAPMAM},
   MRCLASS = {31B25 (31B05 35A08 35J10 60J45)},
  MRNUMBER = {1863269},
MRREVIEWER = {Zhen-Qing Chen},
}
		

@article {MR1825645,
    AUTHOR = {Bogdan, Krzysztof and Byczkowski, Tomasz},
     TITLE = {Potential theory of {S}chr\"odinger operator based on
              fractional {L}aplacian},
   JOURNAL = {Probab. Math. Statist.},
  FJOURNAL = {Probability and Mathematical Statistics},
    VOLUME = {20},
      YEAR = {2000},
    NUMBER = {2, Acta Univ. Wratislav. No. 2256},
     PAGES = {293--335},
      ISSN = {0208-4147},
   MRCLASS = {31B05 (31B15 35A08 35J10 60J50)},
  MRNUMBER = {1825645},
MRREVIEWER = {B. S. Rubin},
}
		

@article {MR1768245,
    AUTHOR = {Bogdan, Krzysztof and Bogdan, Ma{\l}gorzata},
     TITLE = {On existence of maximum likelihood estimators in exponential
              families},
   JOURNAL = {Statistics},
  FJOURNAL = {Statistics. A Journal of Theoretical and Applied Statistics},
    VOLUME = {34},
      YEAR = {2000},
    NUMBER = {2},
     PAGES = {137--149},
      ISSN = {0233-1888},
   MRCLASS = {62F10 (65C60)},
  MRNUMBER = {1768245},
       DOI = {10.1080/02331880008802323},
       URL = {http://dx.doi.org/10.1080/02331880008802323},
}
		

@article {MR1741527,
    AUTHOR = {Bogdan, Krzysztof},
     TITLE = {Sharp estimates for the {G}reen function in {L}ipschitz
              domains},
   JOURNAL = {J. Math. Anal. Appl.},
  FJOURNAL = {Journal of Mathematical Analysis and Applications},
    VOLUME = {243},
      YEAR = {2000},
    NUMBER = {2},
     PAGES = {326--337},
      ISSN = {0022-247X},
     CODEN = {JMANAK},
   MRCLASS = {31B20 (35J05)},
  MRNUMBER = {1741527},
MRREVIEWER = {Zhen-Qing Chen},
       DOI = {10.1006/jmaa.1999.6673},
       URL = {http://dx.doi.org/10.1006/jmaa.1999.6673},
}
		

@article {MR1704245,
    AUTHOR = {Bogdan, Krzysztof},
     TITLE = {Representation of {$\alpha$}-harmonic functions in {L}ipschitz
              domains},
   JOURNAL = {Hiroshima Math. J.},
  FJOURNAL = {Hiroshima Mathematical Journal},
    VOLUME = {29},
      YEAR = {1999},
    NUMBER = {2},
     PAGES = {227--243},
      ISSN = {0018-2079},
     CODEN = {HMTJAD},
   MRCLASS = {31C35 (31B05 60J50)},
  MRNUMBER = {1704245},
MRREVIEWER = {Lucian Beznea},
       URL = {http://projecteuclid.org/euclid.hmj/1206125005},
}
		

@article {MR1703823,
    AUTHOR = {Bogdan, Krzysztof and Byczkowski, Tomasz},
     TITLE = {Probabilistic proof of boundary {H}arnack principle for
              {$\alpha$}-harmonic functions},
   JOURNAL = {Potential Anal.},
  FJOURNAL = {Potential Analysis. An International Journal Devoted to the
              Interactions between Potential Theory, Probability Theory,
              Geometry and Functional Analysis},
    VOLUME = {11},
      YEAR = {1999},
    NUMBER = {2},
     PAGES = {135--156},
      ISSN = {0926-2601},
     CODEN = {POANE2},
   MRCLASS = {60J50 (31B25 31C05 60G51 60G52 60J45)},
  MRNUMBER = {1703823},
MRREVIEWER = {Zhong Xin Zhao},
       DOI = {10.1023/A:1008637918784},
       URL = {http://dx.doi.org/10.1023/A:1008637918784},
}
		

@article {MR1671973,
    AUTHOR = {Bogdan, Krzysztof and Byczkowski, Tomasz},
     TITLE = {Potential theory for the {$\alpha$}-stable {S}chr\"odinger
              operator on bounded {L}ipschitz domains},
   JOURNAL = {Studia Math.},
  FJOURNAL = {Studia Mathematica},
    VOLUME = {133},
      YEAR = {1999},
    NUMBER = {1},
     PAGES = {53--92},
      ISSN = {0039-3223},
   MRCLASS = {31B25 (35J10 60J50)},
  MRNUMBER = {1671973},
MRREVIEWER = {D. G. Natroshvili},
}
		

@book {MR2715092,
    AUTHOR = {Bogdan, Krzysztof Michal},
     TITLE = {Brzegowa zasada {H}arnacka dla ulamkowych poteg operatora
              laplace'a},
      NOTE = {Thesis (Dr.)--Politechnika Wroclawska (Poland)},
 PUBLISHER = {ProQuest LLC, Ann Arbor, MI},
      YEAR = {1997},
     PAGES = {46},
   MRCLASS = {Thesis},
  MRNUMBER = {2715092},
       URL =
              {http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqdiss&rft_dat=xri:pqdiss:C603411},
}
		

@article {MR1438304,
    AUTHOR = {Bogdan, Krzysztof},
     TITLE = {The boundary {H}arnack principle for the fractional
              {L}aplacian},
   JOURNAL = {Studia Math.},
  FJOURNAL = {Studia Mathematica},
    VOLUME = {123},
      YEAR = {1997},
    NUMBER = {1},
     PAGES = {43--80},
      ISSN = {0039-3223},
   MRCLASS = {31B25 (31C05 35S99 60J65)},
  MRNUMBER = {1438304},
MRREVIEWER = {Zhong Xin Zhao},
}
		

@article {MR1374458,
    AUTHOR = {Bogdan, Krzysztof},
     TITLE = {On the zeros of functions with finite {D}irichlet integral},
   JOURNAL = {Kodai Math. J.},
  FJOURNAL = {Kodai Mathematical Journal},
    VOLUME = {19},
      YEAR = {1996},
    NUMBER = {1},
     PAGES = {7--16},
      ISSN = {0386-5991},
   MRCLASS = {30C15 (30D50)},
  MRNUMBER = {1374458},
MRREVIEWER = {George L. Csordas},
       DOI = {10.2996/kmj/1138043542},
       URL = {http://dx.doi.org/10.2996/kmj/1138043542},
}
		

@article {MR1347049,
    AUTHOR = {Bogdan, Krzysztof},
     TITLE = {The atomic decomposition of harmonic functions satisfying
              certain conditions of integrability},
   JOURNAL = {Internat. J. Math. Math. Sci.},
  FJOURNAL = {International Journal of Mathematics and Mathematical
              Sciences},
    VOLUME = {18},
      YEAR = {1995},
    NUMBER = {4},
     PAGES = {625--640},
      ISSN = {0161-1712},
   MRCLASS = {31B05 (46E99)},
  MRNUMBER = {1347049},
MRREVIEWER = {Stephen J. Gardiner},
       DOI = {10.1155/S0161171295000809},
       URL = {http://dx.doi.org/10.1155/S0161171295000809},
}