Composition operators on Hardy-Orlicz spaces

✍ Scribed by Pascal Lefevre, Daniel Li, Herve Queffelec, Luis Rodriguez-Piazza

Publisher: American Mathematical Society
Year: 2010
Tongue: English
Leaves: 87
Series: Memoirs of the American Mathematical Society 0974
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

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

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