Dirichlet级数Hilbert空间上的复合算子

Pub Date : 2023-03-20 DOI:10.11650/tjm/220905

Maofa Wang, Min He

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引用次数: 0

摘要

在1999年Gordon和Hedenmalm定理的启发下，Dirchlet级数的函数空间的不同尺度上的复合算子的研究引起了人们的广泛关注。本文刻画了特定狄利克雷级数符号从Bergman空间到Hardy空间的复合算子的有界性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Composition Operators on Hilbert Spaces of Dirichlet Series

Motivated by a theorem of Gordon and Hedenmalm in 1999, the study of composition operators acting on various scales of function spaces of Dirchlet series has arisen intensive interest. In this paper, we characterize the boundedness of composition operators induced by specific Dirichlet series symbols from Bergman space to Hardy space of Dirichlet series.

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