L 1 ‐SMOOTHING FOR THE ORNSTEIN–UHLENBECK SEMIGROUP

DOI10.1112/S0025579312001064zbMath1267.47066OpenAlexW2129600742WikidataQ104523695 ScholiaQ104523695MaRDI QIDQ4911030

Paweł Wolff, Witold Bednorz, Krzysztof Oleszkiewicz, Franck Barthe, Keith M. Ball

Publication date: 13 March 2013

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0025579312001064

zbMATH Keywords

level setGaussian measureOrnstein-Uhlenbeck semigroup

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Groups and semigroups of linear operators (47D03) Applications of functional analysis in probability theory and statistics (46N30)

Related Items (9)

Regularization in \(L_1\) for the Ornstein-Uhlenbeck semigroup ⋮ On the maximal operator of a general Ornstein-Uhlenbeck semigroup ⋮ Log-Hessian and deviation bounds for Markov semi-groups, and regularization effect in \(\mathbb{L}^1 \) ⋮ Logarithmic heat kernel estimates without curvature restrictions ⋮ Fisher information and logarithmic Sobolev inequality for matrix-valued functions ⋮ Regularization under diffusion and anticoncentration of the information content ⋮ Ornstein–Uhlenbeck operators and semigroups ⋮ Bipartite communities via spectral partitioning ⋮ Deviation inequalities for convex functions motivated by the Talagrand conjecture

Cites Work

• A conjecture on convolution operators, and a non-Dunford-Pettis operator on \(L^ 1\)
• Inequalities in Fourier analysis
• The free Markoff field
• Étude des coefficients de Fourier des fonctions de \(L^ p(G)\)

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