A note on weighted composition operators on \(L^p\)-spaces
type: Item
instance of: scholarly article
title: A note on weighted composition operators on \(L^p\)-spaces
zbMATH Open document ID: 1073.47033
author: Yanyan Li
published in: Bulletin of the Iranian Mathematical Society
publication date: 2004-10-22T00:00:00Z
review text: The authors consider the weighted composition operators \(uC_{\phi}\) between two different \(L^p(X,\Sigma,\mu)\) spaces, generated by measurable and non-singular transformations \(\phi\) from \(X\) into itself and measurable functions \(u\) on \(X.\) They characterize the functions \(u\) and transformations \(\phi\) that induce weighted composition operators between \(L^p\)-spaces by using some properties of the conditional expectation operator, the pair \((u, \phi)\) and the measure space \((X,\Sigma,\mu)\). Some other properties of these types of operators are also investigated.
reviewed by: Ze-Hua Zhou
Mathematics Subject Classification ID: 47B33
Mathematics Subject Classification ID: 46E30
zbMATH DE Number: 2109214
zbMATH Keywords: weighted composition operator
zbMATH Keywords: conditional expectation
zbMATH Keywords: multiplication operator
zbMATH Keywords: Fredholm operator
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 2109214