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arXiv · 1406.7361

Bounded operators on weighted spaces of holomorphic functions on the polydisk

A. V. Harutyunyan
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Abstract

We consider the weighted $A^p(ω)$ and $B_p(ω)$ spaces of holomorphic functions on the polydisk (in the case of $p>1$). We prove some theorems about the boundedness of Toeplitz operators on weighted Besov spaces $B_p(ω)$ and about the boundedness of generalized little Hankel and Berezin- type operators on $A^p(ω)$.

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A. V. Harutyunyan. 2014-06-28. Bounded operators on weighted spaces of holomorphic functions on the polydisk. https://arxiv.org/abs/1406.7361

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