On the potential theory of one-dimensional subordinate Brownian motions with continuous components

DOI10.1007/s11118-009-9163-3zbMath1202.60125OpenAlexW2159031290MaRDI QIDQ983730

Panki Kim, Renming Song, Zoran Vondraček

Publication date: 24 July 2010

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

Full work available at URL: https://doi.org/10.1007/s11118-009-9163-3

zbMATH Keywords

subordinatorGreen functionboundary Harnack principlePoisson kernelsubordinate Brownian motion

Mathematics Subject Classification ID

Processes with independent increments; Lévy processes (60G51) Continuous-time Markov processes on general state spaces (60J25) Brownian motion (60J65) Probabilistic potential theory (60J45)

Related Items (7)

Time-inhomogeneous jump processes and variable order operators ⋮ Suprema of Lévy processes ⋮ Sharp Green function estimates for \(\Delta + \delta ^{\alpha /2}\) in \(C^{1,1}\) open sets and their applications ⋮ On estimates of transition density for subordinate Brownian motions with Gaussian components in \(C^{1,1}\)-open sets ⋮ Uniform boundary Harnack principle for rotationally symmetric Lévy processes in general open sets ⋮ Minimal thinness for subordinate Brownian motion in half-space ⋮ Boundary Harnack principle for $Δ+ Δ^{𝛼/2}$

Cites Work

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