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
Категорії:
Рік:
2010
Видавництво:
American Mathematical Society
Мова:
english
Сторінки:
87
ISBN 10:
082184637X
ISBN 13:
9780821846377
Серії:
Memoirs of the American Mathematical Society 0974
Файл:
PDF, 703 KB
IPFS:
,
english, 2010