Composition Operators on Hardy-Orlicz Spaces (Memoirs of the American Mathematical Society)
ISBN-13:
9780821846377
ISBN-10:
082184637X
Author:
Daniel Li, Hervé Queffélec, Pascal Lefevre, Luis Rodriguez-piazza
Publication date:
2010
Publisher:
Amer Mathematical Society
Format:
Paperback
74 pages
FREE US shipping
Book details
ISBN-13:
9780821846377
ISBN-10:
082184637X
Author:
Daniel Li, Hervé Queffélec, Pascal Lefevre, Luis Rodriguez-piazza
Publication date:
2010
Publisher:
Amer Mathematical Society
Format:
Paperback
74 pages
Summary
Composition Operators on Hardy-Orlicz Spaces (Memoirs of the American Mathematical Society) (ISBN-13: 9780821846377 and ISBN-10: 082184637X), written by authors
Daniel Li, Hervé Queffélec, Pascal Lefevre, Luis Rodriguez-piazza, was published by Amer Mathematical Society in 2010.
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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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