Lipschitz functions and fractional Sobolev spaces

DOI10.1023/A:1008612206076zbMath0944.46028OpenAlexW1555045626MaRDI QIDQ1962857

Francis Hirsch

Publication date: 20 September 2000

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

Full work available at URL: https://doi.org/10.1023/a:1008612206076

zbMATH Keywords

Malliavin calculusMarkovian semigroupsinfinitesimal generatorabstract Wiener spaceBessel potential spacessub-Markovian semigroupMarkovian processOrnstein-Uhlenbeck semigroupaction of Lipschitz functions on fractional Sobolev spacesanalytic strongly continuous semigroup of contractions

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Markov semigroups and applications to diffusion processes (47D07) Stochastic calculus of variations and the Malliavin calculus (60H07)

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Interpolation and approximation in \(L_{2}(\gamma )\) ⋮ Weak convergence of error processes in discretizations of stochastic integrals and Besov spaces ⋮ Localization of Wiener functionals of fractional regularity and applications ⋮ Generalized fractional smoothness and \(L_p\)-variation of BSDEs with non-Lipschitz terminal condition ⋮ Non-linear rough heat equations ⋮ Backward stochastic differential equations with non-Markovian singular terminal values ⋮ Decoupling on the Wiener Space, Related Besov Spaces, and Applications to BSDEs ⋮ Limits of higher-order Besov spaces and sharp reiteration theorems ⋮ Towards an \(L^p\) potential theory for sub-Markovian semigroups: kernels and capacities ⋮ Two inequalities for symmetric diffusion semigroups under \(\Gamma_3\geq 0\) ⋮ On fractional smoothness and \(L_{p}\)-approximation on the Gaussian space

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