Sharp estimates of the Green function, the Poisson kernel and the Martin kernel of cones for symmetric stable processes

DOI10.32917/hmj/1147883392zbMath1103.31003OpenAlexW2164657237WikidataQ128867042 ScholiaQ128867042MaRDI QIDQ2504333

Krzysztof Michalik

Publication date: 25 September 2006

Published in: Hiroshima Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.32917/hmj/1147883392

zbMATH Keywords

Green functionPoisson kernelMartin kernelstable processcircular cone\(\alpha \)-harmonic function

Mathematics Subject Classification ID

Probabilistic potential theory (60J45) Stable stochastic processes (60G52) Boundary behavior of harmonic functions in higher dimensions (31B25)

Related Items (12)

The Dirichlet problem for \(\alpha\)-harmonic functions on conical domains ⋮ On \(s\)-harmonic functions on cones ⋮ Self-similar solution for fractional Laplacian in cones ⋮ Estimates of Poisson kernels for symmetric Lévy processes and their applications ⋮ Heat kernel estimates for the fractional Laplacian with Dirichlet conditions ⋮ Kelvin transform for α-harmonic functions in regular domains ⋮ Semilinear Dirichlet problem for the fractional Laplacian ⋮ Yaglom limit for stable processes in cones ⋮ On s-harmonic functions on cones ⋮ Regularity of harmonic functions for anisotropic fractional Laplacians ⋮ Martin kernel for fractional Laplacian in narrow cones ⋮ Barriers, exit time and survival probability for unimodal Lévy processes

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