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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.

Composition operators on Hardy-Orlicz spaces - Pascal Lefvre

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Title
Composition operators on Hardy-Orlicz spaces
Author
Pascal Lefvre
format
Paperback / softback
Publisher
American Mathematical Society
Language
English
UK Publication Date
20100830

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.

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Type
BOOK
Keyword Index
Composition operators.|Hardy spaces.
Country of Publication
Rhode Island
Number of Pages
74

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