\(L^p\)-Kato class measures and their relations with Sobolev embedding theorems for Dirichlet spaces
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Publication:2022747
DOI10.1016/j.jfa.2021.109034zbMath1462.31016arXiv2005.13758OpenAlexW3142004297MaRDI QIDQ2022747
Publication date: 29 April 2021
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2005.13758
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Dirichlet forms (31C25) Probabilistic potential theory (60J45) Transition functions, generators and resolvents (60J35)
Related Items (2)
\(L^p\)-Kato class measures for symmetric Markov processes under heat kernel estimates ⋮ Stability of estimates for fundamental solutions under Feynman-Kac perturbations for symmetric Markov processes
Cites Work
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- Dirichlet forms and symmetric Markov processes.
- Dirichlet norms, capacities and generalized isoperimetric inequalities for Markov operators.
- Kato class measures of symmetric Markov processes under heat kernel estimates
- Hardy-Littlewood theory for semigroups
- On the parabolic kernel of the Schrödinger operator
- Upper bounds for symmetric Markov transition functions
- Brownian motion on the Sierpinski gasket
- Capacitary bounds of measures and ultracontractivity of time changed processes
- Variational formula for Dirichlet forms and estimates of principal eigenvalues for symmetric \(\alpha\)-stable processes
- Perturbation of Dirichlet forms by measures
- Compactness of Markov and Schrödinger semigroups: a probabilistic approach
- On the geometry of metric measure spaces. II
- Heat kernel estimates for stable-like processes on \(d\)-sets.
- Brownian motion and harnack inequality for Schrödinger operators
- Sobolev inequalities in disguise
- Large Deviations for Brownian Intersection Measures
- Large deviations for intersection measures of some Markov processes
- Compactness of symmetric Markov semigroups and boundedness of eigenfunctions
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