Strong hypercontractivity and relative subharmonicity
type: Item
instance of: scholarly article
title: Strong hypercontractivity and relative subharmonicity
zbMATH Open document ID: 1003.31003
author: Leonard Gross
published in: Journal of Functional Analysis
publication date: 2002-07-04T00:00:00Z
review text: This work is concerned with a special class of Dirichlet forms over a complex manifold. The main goal of this paper is to show how some of new hypercontractivity properties of the semigroup \(e^{-tA},\) generated by some \(A\) in holomorphic function spaces can be deduced from standard hypercontractivity by a method that extends the classical submean-value property of subharmonic functions.
reviewed by: Ricardo Sa Earp
Mathematics Subject Classification ID: 31C05
Mathematics Subject Classification ID: 31C25
Mathematics Subject Classification ID: 31C12
zbMATH DE Number: 1763758
zbMATH Keywords: Dirichlet forms over a complex manifold
zbMATH Keywords: hypercontractivity
zbMATH Keywords: submean-value property
MaRDI profile type: Publication
full work available at URL: jfan.2001.3883
OpenAlex ID: W1997469163
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DOI: 10.1006/JFAN.2001.3883
description: scientific article; zbMATH DE number 1763758