Composition operators on Hardy-Orlicz spaces
Pascal Lefevre, Daniel Li, Herve Queffelec, Luis Rodriguez-Piazza
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
Categories:
Year:
2010
Publisher:
American Mathematical Society
Language:
english
Pages:
87
ISBN 10:
082184637X
ISBN 13:
9780821846377
Series:
Memoirs of the American Mathematical Society 0974
File:
PDF, 703 KB
IPFS:
,
english, 2010