Green function estimates and Harnack inequality for subordinate Brownian motions
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Publication:2502243
DOI10.1007/s11118-005-9003-zzbMath1107.60042OpenAlexW2109897165MaRDI QIDQ2502243
Renming Song, Zoran Vondraček, Murali Rao
Publication date: 12 September 2006
Published in: Potential Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11118-005-9003-z
Continuous-time Markov processes on general state spaces (60J25) Probabilistic potential theory (60J45)
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Cites Work
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- Some Dirichlet spaces obtained by subordinate reflected diffusions
- Comparison of semigroups and resolvents of order \(\alpha\) associated with differential operators of divergence type
- Potential theory of subordinate killed Brownian motion in a domain
- Drift transforms and Green function estimates for discontinuous processes
- Sharp bounds on the density, Green function and jumping function of subordinate killed BM
- Harnack inequality for some classes of Markov processes
- Estimates of Green function for relativistic \(\alpha\)-stable process
- Harnack inequalities for jump processes
- Heat kernel estimates for stable-like processes on \(d\)-sets.
- Time Changes for Lévy Processes
- Transition Probabilities for Symmetric Jump Processes
- Harnack inequalities for non-local operators of variable order
- Harnack inequality for some discontinuous Markov processes with a diffusion part
