Composition Operators on Hardy-Orlicz Spaces
Author： Pascal Lefèvre;Daniel Li;Hervé Queffélec
Publisher： American Mathematical Society
Publication year： 2013
E-ISBN: 9781470405885
P-ISBN(Paperback): 9780821846377
P-ISBN(Hardback): 9780821846377
Subject： O177 functional analysis
Keyword： Analysis
Language： ENG
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Composition Operators on Hardy-Orlicz Spaces
Description
The authors investigate composition operators on Hardy-Orlicz spaces when the Orlicz function $\Psi$ grows rapidly: compactness, weak compactness, to be $p$-summing, order bounded, $\ldots$, and show how these notions behave according to the growth of $\Psi$. They introduce an adapted version of Carleson measure. They construct various examples showing that their results are essentially sharp. In the last part, they study the case of Bergman-Orlicz spaces.