Composition operators on Hardy-Orlicz spaces

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 me...

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Hlavní autoři: Lefèvre, Pascal, Li, Daniel, Queffélec, Hervé, Rodríguez-Piazza, Luis
Médium: E-kniha Kniha
Jazyk:angličtina
Vydáno: Providence, Rhode Island American Mathematical Society 2010
Vydání:1
Edice:Memoirs of the American Mathematical Society
Témata:
Composition operators
Hardy spaces
composition operator
Bergman-Orlicz space
Carleson measure
Hardy-Orlicz space
ISBN:082184637X, 9780821846377
ISSN:0065-9266, 1947-6221
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Shrnutí: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.
Bibliografie:Other authors: Daniel Li, Hervé Queffélec, Luis Rodríquez-Piazza
Includes bibliographical references (p. 73-74)
Volume 207, number 974 (fourth of 5 numbers).
ISBN:082184637X
9780821846377
ISSN:0065-9266
1947-6221
DOI:10.1090/S0065-9266-10-00580-6