Capacitary bounds of measures and ultracontractivity of time changed processes

DOI10.1016/S0021-7824(03)00034-5zbMath1027.60086OpenAlexW2049975290MaRDI QIDQ1408904

Masatoshi Fukushima, Toshihiro Uemura

Publication date: 25 September 2003

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0021-7824(03)00034-5

zbMATH Keywords

Dirichlet spacesymmetric stable processultracontractivitycapacitary bound

Mathematics Subject Classification ID

Dirichlet forms (31C25) Markov semigroups and applications to diffusion processes (47D07) Local time and additive functionals (60J55) Transition functions, generators and resolvents (60J35)

Related Items (15)

Hardy's inequality in the scope of Dirichlet forms ⋮ Sobolev-Orlicz inequalities, ultracontractivity and spectra of time changed Dirichlet forms ⋮ Speed of stability for birth-death processes ⋮ Potential spaces and traces of Lévy processes on \(h\)-sets ⋮ The Dirichlet form of a gradient-type drift transformation of a symmetric diffusion ⋮ Rate functions for symmetric Markov processes via heat kernel ⋮ Lower bounds of principal eigenvalue in dimension one ⋮ Conductor and capacitary inequalities for functions on topological spaces and their applications to Sobolev-type imbeddings ⋮ Time changes of symmetric diffusions and Feller measures ⋮ Conductor inequalities and criteria for Sobolev type two-weight imbeddings ⋮ \(L^p\)-Kato class measures and their relations with Sobolev embedding theorems for Dirichlet spaces ⋮ Capacitary criteria for Poincaré-type inequalities ⋮ Conductor Inequalities and Criteria for Sobolev-Lorentz Two-Weight Inequalities ⋮ Restricting isotropic α-stable Lévy processes from to fractal sets ⋮ Hölder estimates for resolvents of time-changed Brownian motions

Cites Work

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• Dirichlet norms, capacities and generalized isoperimetric inequalities for Markov operators.
• Hardy-Littlewood theory for semigroups
• Upper bounds for symmetric Markov transition functions
• Capacitary inequalities for energy
• Dirichlet forms and symmetric Markov processes
• Hardy's inequality for Dirichlet forms
• Conditional gaugeability and subcriticality of generalized Schrödinger operators
• On certain integral inequalities for functions of many variables
• On Sobolev and capacitary inequalities for contractive Besov spaces over \(d\)-sets
• Perturbation of Dirichlet forms by measures
• An estimate for the \(L^ 2\)-norm of a quasi continuous function with respect to a smooth measure
• Heat kernel estimates for stable-like processes on \(d\)-sets.
• Gaugeability and conditional gaugeability
• Capacitary integrals in Drichlet spaces.
• Imbedding theorems of Sobolev type in potential theory.
• Trace inequalities for operators associated to regular Dirichlet forms
• Subcriticality and gaugeability for symmetric [alpha-stable processes]
• Sobolev inequalities in disguise
• A trace inequality for generalized potentials

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