707 citations
- AGH University of KrakowPL483 papers
- Centre National de la Recherche ScientifiqueFR85 papers
- Institute of PhysicsPL75 papers
- Polish Academy of SciencesPL72 papers
- University of Tennessee at KnoxvilleUS57 papers
- University of WrocławPL57 papers
- Institute of MathematicsPL51 papers
- Jožef Stefan InstituteSI49 papers
- University of WarsawPL45 papers
- University of LjubljanaSI39 papers
- University of MünsterDE36 papers
- Max Planck Institute for the Physics of Complex SystemsDE34 papers
5 papers · 2 filters
Gradient estimates of q-harmonic functions of fractional Schrodinger operator
Tadeusz Kulczycki
We study gradient estimates of -harmonic functions of the fractional Schr{ö}dinger operator , in bounded domains . For nonnegative…
Upper estimates of transition densities for stable-dominated semigroups
Kamil Kaleta, Paweł Sztonyk
We derive upper estimates of transition densities for Feller semigroups with jump intensities lighter than that of the rotation invariant stable Levy process
Pointwise eigenfunction estimates and intrinsic ultracontractivity-type properties of Feynman-Kac semigroups for a class of Lévy processes
Kamil Kaleta, József Lőrinczi
We introduce a class of Lévy processes subject to specific regularity conditions, and consider their Feynman-Kac semigroups given under a Kato-class potential. Using new techniques…
Boundary Harnack inequality for Markov processes with jumps
Krzysztof Bogdan, Takashi Kumagai, Mateusz Kwaśnicki
We prove a boundary Harnack inequality for jump-type Markov processes on metric measure state spaces, under comparability estimates of the jump kernel and Urysohn-type property of…
On nonlocal perturbations of integral kernels
Krzysztof Bogdan, Sebastian Sydor
We give sufficient conditions for a nonlocal perturbation of an integral kernel to be locally in time comparable with the kernel.