Hypercontractive Semigroups and Sobolev's Inequality
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Publication:4066053
DOI10.2307/1997121zbMath0308.46034OpenAlexW4255421864MaRDI QIDQ4066053
Publication date: 1975
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/1997121
Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Groups and semigroups of linear operators (47D03)
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On supercontractivity for Markov semigroups ⋮ Spectral properties of Laplacians on an abstract Wiener space with a weighted Wiener measure ⋮ The clamped plate in Gauss space ⋮ Regularity properties of Schrödinger and Dirichlet semigroups ⋮ General logarithmic Sobolev inequalities and Orlicz imbeddings ⋮ Sobolev embeddings in infinite dimensions ⋮ Talagrand's influence inequality revisited ⋮ Discrete logarithmic Sobolev inequalities in Banach spaces ⋮ Logarithmic Sobolev inequalities and hypercontractive estimates on the circle ⋮ Symmetrization inequalities for probability metric spaces with convex isoperimetric profile ⋮ Optimal Sobolev embeddings for the Ornstein-Uhlenbeck operator ⋮ Sharp exponential inequalities for the Ornstein-Uhlenbeck operator ⋮ Pointwise symmetrization inequalities for Sobolev functions and applications ⋮ Isoperimetry and symmetrization for logarithmic Sobolev inequalities ⋮ Optimal Gaussian Sobolev embeddings ⋮ Moser inequalities in Gauss space
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