Composition Operators on Hardy-Morosov Theorem

Composition Operators on Hardy-Morosov Theorem

Details

Author(s)
Pascal Lefevre, Daniel Li, Herve Queffelec, Luis Rodriguez-piazza
Format
Paperback | 74 pages
Dimensions
177.8 x 254 x 6.35mm | 145.15g
Publication date
15 Sep 2010
Publisher
American Mathematical Society
Publication City/Country
Providence, United States
Language
English
ISBN10
082184637X
ISBN13
9780821846377

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.


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