Meyers inequality and strong stability for stable-like operators

DOI10.1016/j.jfa.2013.03.008zbMath1295.47047arXiv1207.2715OpenAlexW2964237509MaRDI QIDQ393067

Richard F. Bass, Hua Ren

Publication date: 16 January 2014

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.2715

zbMATH Keywords

integro-differential operatorsCaccioppoli inequalitydivergence form operatorsstable-like operators

Mathematics Subject Classification ID

Integral operators (47G10) Integro-differential operators (47G20)

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Cites Work

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• Dirichlet forms and symmetric Markov processes.
• Two-sided heat kernel estimates for censored stable-like processes
• Symmetric jump processes: localization, heat kernels and convergence
• A priori Hölder estimate, parabolic Harnack principle and heat kernel estimates for diffusions with jumps
• The martingale problem for a class of stable-like processes
• Heat kernel estimates and Harnack inequalities for some Dirichlet forms with non-local part
• Uniqueness in law for pure jump Markov processes
• Stability and approximations of symmetric diffusion semigroups and kernels
• Harnack inequality for some classes of Markov processes
• The singular set of solutions to non-differentiable elliptic systems
• Harnack inequalities for jump processes
• On the equivalence of parabolic Harnack inequalities and heat kernel estimates
• Harmonic functions for a class of integro-differential operators
• Heat kernel estimates for jump processes of mixed types on metric measure spaces
• Heat kernel estimates for stable-like processes on \(d\)-sets.
• Transition Probabilities for Symmetric Jump Processes
• Global heat kernel estimates for symmetric jump processes
• Heat kernel upper bounds for jump processes and the first exit time
• Non-local Dirichlet forms and symmetric jump processes
• Symmetric Stable Laws and Stable-Like Jump-Diffusions
• Harnack inequalities for non-local operators of variable order
• Hölder Continuity of Harmonic Functions with Respect to Operators of Variable Order