Composition operators on Bergman-Orlicz spaces on the ball

Details Composition operators on Bergman-Orlicz spaces on the ball Composition operators on Bergman-Orlicz spaces on the ball

2010-06-27

arxiv.org/abs/1006.5225v2

Mathematics

Functional Analysis

Scientific paper

We give embedding theorems for weighted Bergman-Orlicz spaces on the ball and
then apply our results to the study of composition operators in this context.
As one of the motivations of this work, we show that there exist some weighted
Bergman-Orlicz spaces, different from $H^{\infinity}$, on which every
composition operator is bounded.

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