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Krzysztof Bogdan
Krzysztof Bogdan
Professor of Mathematics, Wroclaw University of Science and Technology
Verified email at pwr.edu.pl - Homepage
Title
Cited by
Cited by
Year
Censored stable processes
K Bogdan, K Burdzy, ZQ Chen
Probability theory and related fields 127, 89-152, 2003
3562003
Potential analysis of stable processes and its extensions
K Bogdan, T Byczkowski, T Kulczycki, M Ryznar, R Song, Z Vondracek
Springer Science & Business Media, 2009
2692009
The boundary Harnack principle for the fractional Laplacian
K Bogdan
Studia Mathematica 123 (1), 43-80, 1997
2581997
Estimates of heat kernel of fractional Laplacian perturbed by gradient operators
K Bogdan, T Jakubowski
Communications in mathematical physics 271 (1), 179-198, 2007
2502007
Potential theory for the α-stable Schrödinger operator on bounded Lipschitz domains
K Bogdan, T Byczkowski
Studia Mathematica 133 (1), 53-92, 1999
2271999
Density and tails of unimodal convolution semigroups
K Bogdan, T Grzywny, M Ryznar
Journal of Functional Analysis 266 (6), 3543-3571, 2014
1442014
Heat kernel estimates for the fractional Laplacian with Dirichlet conditions
K Bogdan, T Grzywny, M Ryznar
The Annals of Probability, 1901-1923, 2010
1422010
Potential theory of Schrödinger operator based on fractional Laplacian
K Bogdan, T Byczkowski
Probability and Mathematical statistics 20, 2000
1262000
Harnack inequality for stable processes on d-sets
K Bogdan, A Stós, P Sztonyk
Studia Math 158 (2), 163-198, 2003
1112003
Estimates and structure of α-harmonic functions
K Bogdan, T Kulczycki, M Kwaśnicki
Probability theory and related fields 140, 345-381, 2008
1092008
Gradient estimates for harmonic and -harmonic functions of symmetric stable processes
K Bogdan, T Kulczycki, A Nowak
Illinois Journal of Mathematics 46 (2), 541-556, 2002
1042002
The best constant in a fractional Hardy inequality
K Bogdan, B Dyda
arXiv preprint arXiv:0807.1825, 2008
992008
Representation of -harmonic functions in Lipschitz domains
K Bogdan
Hiroshima mathematical journal 29 (2), 227-243, 1999
961999
Sharp estimates for the Green function in Lipschitz domains
K Bogdan
Journal of mathematical analysis and applications 243 (2), 326-337, 2000
922000
Lévy processes and Fourier multipliers
R Bañuelos, K Bogdan
Journal of Functional Analysis 250 (1), 197-213, 2007
812007
On Kelvin transformation
K Bogdan, T Żak
Journal of Theoretical Probability 19 (1), 89-120, 2006
742006
Estimates of potential kernel and Harnack's inequality for anisotropic fractional Laplacian
K Bogdan, P Sztonyk
arXiv preprint math/0507579, 2005
742005
Harnack’s inequality for stable Lévy processes
K Bogdan, P Sztonyk
Potential Analysis 22, 133-150, 2005
712005
Barriers, exit time and survival probability for unimodal Lévy processes
K Bogdan, T Grzywny, M Ryznar
Probability Theory and Related Fields 162, 155-198, 2015
682015
Estimates of the Green function for the fractional Laplacian perturbed by gradient
K Bogdan, T Jakubowski
Potential Analysis 36, 455-481, 2012
682012
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