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.
| ISBN: | 9780821846377 |
| Publication date: | 30th August 2010 |
| Author: | Pascal Lefèvre |
| Publisher: | American Mathematical Society |
| Format: | Paperback |
| Pagination: | 74 pages |
| Series: | Memoirs of the American Mathematical Society |
| Genres: |
Calculus and mathematical analysis |