Boundary Harnack principle and Martin boundary at infinity for subordinate Brownian motions

DOI10.1007/s11118-013-9375-4zbMath1302.60110arXiv1212.3094OpenAlexW2024642498MaRDI QIDQ2509984

Panki Kim, Zoran Vondraček, Renming Song

Publication date: 31 July 2014

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

Full work available at URL: https://arxiv.org/abs/1212.3094

zbMATH Keywords

Lévy processesMartin boundaryboundary Harnack principleharmonic functionsPoisson kernelMartin kernelsubordinate Brownian motion

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Probabilistic potential theory (60J45) Boundary theory for Markov processes (60J50)

Related Items (7)

Fluctuation theory for Lévy processes with completely monotone jumps ⋮ Martin kernels for Markov processes with jumps ⋮ Scale invariant boundary Harnack principle at infinity for Feller processes ⋮ Semilinear Dirichlet problem for subordinate spectral Laplacian ⋮ Representation of harmonic functions with respect to subordinate Brownian motion ⋮ Yaglom limit for stable processes in cones ⋮ Minimal thinness with respect to symmetric Lévy processes

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