Some boundedness properties of certain stationary diffusion semigroups
type: Item
instance of: scholarly article
title: Some boundedness properties of certain stationary diffusion semigroups
zbMATH Open document ID: 0562.60078
DOI: 10.1016/0022-1236(85)90052-7
author: Daniel W. Stroock
author: Shigeo Kusuoka
published in: Journal of Functional Analysis
publication date: 1985-01-01T00:00:00Z
review text: Let \((P_ t)\) be some conservative diffusion semigroup with uniformly hypoelliptic smooth diffusion operator and let m be a \((P_ t)\)- invariant probability measure on \(R^ N\). Using Malliavin calculus the authors estimate \(\| P_ t\|_{L^ p(m)\to L^ q(m)}(1<p<q\leq \infty,t>0)\). They explain what advantages their results have in comparison to \textit{E. B. Davies} and \textit{B. Simon's}, Ultracontractive semigroups and some problems in analysis. To appear in: Aspects of mathematics and its applications, North-Holland.
Mathematics Subject Classification ID: 60J35
Mathematics Subject Classification ID: 47D07
zbMATH DE Number: 3896045
zbMATH Keywords: conservative diffusion semigroup
zbMATH Keywords: hypoelliptic smooth diffusion operator
zbMATH Keywords: Malliavin calculus
reviewed by: R. Mikulevicius
MaRDI profile type: Publication
full work available at URL: 0022-1236(85)90052-7
OpenAlex ID: W2014267003
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description: scientific article; zbMATH DE number 3896045