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arXiv · 1610.01954

Derivatives characterization of Bergman-Orlicz spaces and applications

Benoît F. Sehba
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Abstract

It is well known that a function is in a Bergman space of the unit ball if and only if it satisfies some Hardy-type inequalities. We extend this fact to Bergman-Orlicz spaces. As applications, we obtain Gustavsson-Peetre interpolation of two Bergman-Orlicz spaces and we completely characterize symbols of bounded or compact Ces\`aro-type operators on Bergman-Orlicz spaces, extending known results for classical weighted Bergman spaces.

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Benoît F. Sehba. 2016-10-06. Derivatives characterization of Bergman-Orlicz spaces and applications. https://arxiv.org/abs/1610.01954

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