Coercive inequalities on metric measure spaces

DOI10.1016/j.jfa.2009.05.016zbMath1189.26032arXiv0905.1713OpenAlexW2964301200WikidataQ105583668 ScholiaQ105583668MaRDI QIDQ1048186

Bogusław Zegarliński, Waldemar Hebisch

Publication date: 11 January 2010

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0905.1713

zbMATH Keywords

Heisenberg groupcoercive inequalities\(U\)-boundslogarithmic Sobolev

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Inequalities involving derivatives and differential and integral operators (26D10) Analysis on metric spaces (30L99)

Related Items (27)

Markov semigroups with hypocoercive-type generator in infinite dimensions: ergodicity and smoothing ⋮ Hypercontractivity for Markov semi-groups ⋮ Logarithmic Schrödinger equations in infinite dimensions ⋮ Logarithmic Sobolev inequalities on non-isotropic Heisenberg groups ⋮ One-dimensional Fokker-Planck equations and functional inequalities for heavy tailed densities ⋮ Linear and nonlinear dissipative dynamics ⋮ Solution of a class of reaction-diffusion systems via logarithmic Sobolev inequality ⋮ From \(U\)-bounds to isoperimetry with applications to H-type groups ⋮ The log-Sobolev inequality with quadratic interactions ⋮ Coercive inequalities and U-bounds on step-two Carnot groups ⋮ Note on the q-logarithmic Sobolev and p-Talagrand inequalities on Carnot groups ⋮ Spectral inequalities for operators on \(H\)-type groups ⋮ Higher order coercive inequalities ⋮ \(q\)-Poincaré inequalities on Carnot groups with filiform type Lie algebra ⋮ Bounded harmonic functions on Riemannian manifolds of nonpositive curvature ⋮ On logarithmic Sobolev inequalities for the heat kernel on the Heisenberg group ⋮ A note on the modified log-Sobolev inequality ⋮ Brownian motion in an \(N\)-scale periodic potential ⋮ Orlicz-space Hardy and Landau–Kolmogorov inequalities for Gaussian measures ⋮ Coercive inequalities in higher-dimensional anisotropic Heisenberg group ⋮ Uniqueness of weighted Sobolev spaces with weakly differentiable weights ⋮ Revisiting the heat kernel on isotropic and nonisotropic Heisenberg groups* ⋮ Analysis on extended Heisenberg group ⋮ Ornstein-Uhlenbeck semi-groups on stratified groups ⋮ Ergodicity of Markov semigroups with Hörmander type generators in infinite dimensions ⋮ Logarithmic Sobolev inequalities for Dunkl operators with applications to functional inequalities for singular Boltzmann-Gibbs measures ⋮ A criterion of nonparabolicity by the Ricci curvature

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