Composition operators on Hardy-Orlicz spaces
著者
書誌事項
Composition operators on Hardy-Orlicz spaces
(Memoirs of the American Mathematical Society, no. 974)
American Mathematical Society, c2010
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注記
Other authors: Daniel Li, Hervé Queffélec, Luis Rodríquez-Piazza
"Volume 207, number 974 (fourth of 5 numbers)."
Includes bibliographical references (p. 73-74)
内容説明・目次
内容説明
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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