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arXiv · 1501.03416

Duality for large Bergman-Orlicz spaces and Boundedness of Hankel Operators

Benoit F. Sehba·Edgar Tchoundja
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Abstract

For $\mathbb B^n$ the unit ball of $\mathbb C^n$, we consider Bergman-Orlicz spaces of holomorphic functions in $L^\Phi_\alpha$, which are generalizations of classical Bergman spaces. We characterize the dual space of large Bergman-Orlicz space, and bounded Hankel operators between some Bergman-Orlicz spaces $A_\alpha^{\Phi_1}(\mathbb B^n)$ and $A_\alpha^{\Phi_2}(\mathbb B^n)$ where $\Phi_1$ and $\Phi_2$ are either convex or concave growth functions.

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BibTeXRIS

Benoit F. Sehba, Edgar Tchoundja. 2015-01-14. Duality for large Bergman-Orlicz spaces and Boundedness of Hankel Operators. https://arxiv.org/abs/1501.03416

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