Potential theory of one-dimensional geometric stable processes

DOI10.4064/cm129-1-2zbMath1276.60083arXiv1107.0745OpenAlexW2963861050MaRDI QIDQ4899805

Michał Ryznar, Tomasz Grzywny

Publication date: 9 January 2013

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1107.0745

zbMATH Keywords

Harnack inequalitypotential theoryone-dimensional geometric stable processes

Mathematics Subject Classification ID

Probabilistic potential theory (60J45) Stable stochastic processes (60G52)

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Fluctuation theory for Lévy processes with completely monotone jumps ⋮ Hitting probabilities for L\'{e}vy processes on the real line ⋮ Small order asymptotics of the Dirichlet eigenvalue problem for the fractional Laplacian ⋮ Potential kernels, probabilities of hitting a ball, harmonic functions and the boundary Harnack inequality for unimodal Lévy processes ⋮ Dirichlet heat kernel for unimodal Lévy processes ⋮ Yaglom limit for unimodal Lévy processes ⋮ Hitting times of points and intervals for symmetric Lévy processes ⋮ Green function for gradient perturbation of unimodal Lévy processes in the real line ⋮ The logarithmic Schrödinger operator and associated Dirichlet problems ⋮ Estimates of Dirichlet heat kernels for unimodal Lévy processes with low intensity of small jumps ⋮ Barriers, exit time and survival probability for unimodal Lévy processes ⋮ Pointwise eigenfunction estimates and intrinsic ultracontractivity-type properties of Feynman-Kac semigroups for a class of Lévy processes

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