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...

Full description

Saved in:
Bibliographic Details
Main Authors: Lefèvre, Pascal, Li, Daniel, Queffélec, Hervé, Rodríguez-Piazza, Luis
Format: eBook Book
Language:English
Published: Providence, Rhode Island American Mathematical Society 2010
Edition:1
Series:Memoirs of the American Mathematical Society
Subjects:
Composition operators
Hardy spaces
composition operator
Bergman-Orlicz space
Carleson measure
Hardy-Orlicz space
ISBN:082184637X, 9780821846377
ISSN:0065-9266, 1947-6221
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
Bibliography: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