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arXiv · 2207.12320

Weighted composition operators on the Bloch space of a bounded homogeneous domain

Robert F. Allen·Flavia Colonna
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Abstract

In this paper, we present the current results in the study of weighted composition operators on the Bloch space of bounded homogeneous domains in $\mathbb{C}^n$ with particular emphasis on the issues of boundedness and compactness. We also discuss the bounded and the compact weighted composition operators from the Bloch space to the Hardy space $H^\infty$.

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Robert F. Allen, Flavia Colonna. 2022-07-25. Weighted composition operators on the Bloch space of a bounded homogeneous domain. https://doi.org/10.1007/978-3-0346-0158-0%5C_2

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