Kato classes for Lévy processes

DOI10.1007/s11118-017-9614-1zbMath1379.60053arXiv1503.05747OpenAlexW3100987860WikidataQ59527753 ScholiaQ59527753MaRDI QIDQ1681853

Tomasz Grzywny, Karol Szczypkowski

Publication date: 24 November 2017

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.05747

zbMATH Keywords

subordinatorLévy processKato classSchrödinger perturbationLévy-Khintchine exponentpolarity of a one point setunimodal isotropic Lévy process

Mathematics Subject Classification ID

Processes with independent increments; Lévy processes (60G51) Perturbation theory of linear operators (47A55) Probabilistic potential theory (60J45) Schrödinger operator, Schrödinger equation (35J10)

Related Items

Transition density estimates for diagonal systems of SDEs driven by cylindrical $\alpha$-stable processes ⋮ Fluctuation theory for Lévy processes with completely monotone jumps ⋮ Sharp Gaussian estimates for heat kernels of Schrödinger operators ⋮ Schauder estimates for equations associated with Lévy generators ⋮ Remarks on the nonlocal Dirichlet problem ⋮ Spatial asymptotics at infinity for heat kernels of integro-differential operators ⋮ Majorization, 4G theorem and Schrödinger perturbations ⋮ Fall-off of eigenfunctions for non-local Schrödinger operators with decaying potentials ⋮ Heat kernels of non-symmetric Lévy-type operators ⋮ Heat kernel estimates for symmetric jump processes with mixed polynomial growths ⋮ The quenched asymptotics for nonlocal Schrödinger operators with Poissonian potentials ⋮ Heat kernels of non-local Schrödinger operators with Kato potentials

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