On potential theory of Markov processes with jump kernels decaying at the boundary

DOI10.1007/S11118-021-09947-8OpenAlexW3194038640MaRDI QIDQ2687073

Panki Kim, Renming Song, Zoran Vondraček

Publication date: 1 March 2023

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

Full work available at URL: https://arxiv.org/abs/1910.10961

zbMATH Keywords

Harnack inequalityboundary Harnack principlejump processesCarleson estimatejumping kernel with boundary part

Mathematics Subject Classification ID

Probabilistic potential theory (60J45) Boundary theory for Markov processes (60J50) Jump processes on general state spaces (60J76)

Related Items (4)

Positive self-similar Markov processes obtained by resurrection ⋮ Semilinear nonlocal elliptic equations with source term and measure data ⋮ Potential theory of Dirichlet forms degenerate at the boundary: the case of no Killing potential ⋮ Harnack inequality and interior regularity for Markov processes with degenerate jump kernels

Cites Work

• Unnamed Item
• On the boundary theory of subordinate killed Lévy processes
• Probabilistic proof of boundary Harnack principle for \(\alpha\)-harmonic functions
• Dirichlet forms and symmetric Markov processes
• Potential theory of subordinate killed Brownian motion in a domain
• Censored stable processes
• Harnack inequality for some classes of Markov processes
• Harnack inequalities for jump processes
• Factorization and estimates of Dirichlet heat kernels for non-local operators with critical killings
• Estimates of Dirichlet heat kernel for symmetric Markov processes
• Global uniform boundary Harnack principle with explicit decay rate and its application
• Heat kernel estimates for jump processes of mixed types on metric measure spaces
• Heat kernel estimates for stable-like processes on \(d\)-sets.
• Potential theory of subordinate killed Brownian motion
• Equivalence between the boundary Harnack principle and the Carleson estimate

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