\(\Phi\)-entropy inequalities and asymmetric covariance estimates for convex measures
From MaRDI portal
Publication:2325352
DOI10.3150/18-BEJ1082zbMath1428.62189arXiv1810.07141MaRDI QIDQ2325352
Publication date: 25 September 2019
Published in: Bernoulli (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1810.07141
Poincaré-type inequalitiessemi-groupconvex measuresBeckner-type inequalities\(\Phi\)-entropy inequalities\(L^2\)-method of Hörmanderasymmetric covariance estimatesBrascamp-Lieb-type inequalities
Related Items
Covariance representations, \(L^p\)-Poincaré inequalities, Stein's kernels, and high-dimensional CLTs ⋮ A family of Beckner inequalities under various curvature-dimension conditions ⋮ Modified log-Sobolev inequalities, Beckner inequalities and moment estimates
Cites Work
- Unnamed Item
- Uniform logarithmic Sobolev inequalities for conservative spin systems with super-quadratic single-site potential
- Hardy-Poincaré inequalities and applications to nonlinear diffusions
- Phi-entropy inequalities for diffusion semigroups
- Asymptotics of the fast diffusion equation via entropy estimates
- Weighted Poincaré-type inequalities for Cauchy and other convex measures
- On extensions of the Brunn-Minkowski and Prekopa-Leindler theorems, including inequalities for log concave functions, and with an application to the diffusion equation
- Local Poincaré inequalities in non-negative curvature and finite dimension
- Asymmetric covariance estimates of Brascamp-Lieb type and related inequalities for log-concave measures
- Intertwinings and generalized Brascamp-Lieb inequalities
- Dimensional variance inequalities of Brascamp-Lieb type and a local approach to dimensional Prékopa's theorem
- \(L^ 2\) estimates and existence theorems for the \(\partial\)-operator
- Entropies, convexity, and functional inequalities: on \(\Phi\)-entropies and \(\Phi\)-Sobolev inequalities
- A note on spectral gap and weighted Poincaré inequalities for some one-dimensional diffusions
- A Generalized Poincare Inequality for Gaussian Measures
- Logarithmic Sobolev Inequalities
- Some remarks on weighted logarithmic Sobolev inequality
- Sharp rates of decay of solutions to the nonlinear fast diffusion equation via functional inequalities
- Analysis and Geometry of Markov Diffusion Operators
- Sharp Beckner-type inequalities for Cauchy and spherical distributions