Composition Operators on Hilbert Spaces of Dirichlet Series

IF 0.6 4区数学 Q3 MATHEMATICS

Taiwanese Journal of Mathematics Pub Date : 2023-03-20 DOI:10.11650/tjm/220905

Maofa Wang, Min He

引用次数: 0

Abstract

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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Dirichlet级数Hilbert空间上的复合算子

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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来源期刊

Taiwanese Journal of Mathematics 数学-数学

CiteScore

1.10

自引率

0.00%

发文量

审稿时长

3 months

期刊介绍： The Taiwanese Journal of Mathematics, published by the Mathematical Society of the Republic of China (Taiwan), is a continuation of the former Chinese Journal of Mathematics (1973-1996). It aims to publish original research papers and survey articles in all areas of mathematics. It will also occasionally publish proceedings of conferences co-organized by the Society. The purpose is to reflect the progress of the mathematical research in Taiwan and, by providing an international forum, to stimulate its further developments. The journal appears bimonthly each year beginning from 2008.