Herbst inequalities for supercontractive semigroups
type: Item
instance of: scholarly article
title: Herbst inequalities for supercontractive semigroups
zbMATH Open document ID: 0928.47032
author: Leonard Gross
author: Oscar S. Rothaus
published in: Journal of Mathematics of Kyoto University
publication date: 2000-01-04T00:00:00Z
review text: The authors consider symmetric Markov semigroups \((e^{-tA})_{t\geq 0}\) on \(L^{2}(X,\mu)\) and the corresponding Dirichlet form \(E(f,f)=\| A^{1 \over 2}f\| _{2}^{2}\). If \(\| e^{-tA}\| _{p \to q} < \infty\) for \(1<p,q<\infty\), i.e., the semigroup is supercontractive, they derive exponential integrability inequalities, called Herbst inequalities.
reviewed by: Rainer Nagel
Mathematics Subject Classification ID: 47D07
zbMATH DE Number: 1251227
zbMATH Keywords: symmetric Markov semigroups
zbMATH Keywords: Dirichlet form
zbMATH Keywords: supercontractive
zbMATH Keywords: exponential integrability inequalities
zbMATH Keywords: Herbst inequalities
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1215/kjm/1250518120
OpenAlex ID: W1918761114
Wikidata QID: Q98839756
DOI: 10.1215/KJM/1250518120
description: scientific article; zbMATH DE number 1251227