Ergodic properties of multiplication and weighted composition operators on spaces of holomorphic functions

IF 0.8 3区数学 Q2 MATHEMATICS Mathematische Nachrichten Pub Date : 2024-03-12 DOI:10.1002/mana.202300430

Daniel Santacreu

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引用次数: 0

Abstract

We obtain different results about the mean ergodicity of weighted composition operators when acting on the spaces $H (B)$ , $H_{b} (B)$ , and $H^{\infty} (B)$ , where $B$ is the open unit ball of a Banach space, as well as about the compactness and the mean ergodicity of the multiplication operator. This study relates these properties of the operators with properties of the symbol and the weight defining such operators.

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全形函数空间上乘法和加权合成算子的遍历性质

我们得到了关于加权合成算子作用于空间 H(B)$H(B)$、Hb(B)$H_b(B)$ 和 H∞(B)$H^\infty (B)$ （其中 B$B$ 是巴拿赫空间的开单位球）时的平均遍历性的不同结果，以及关于乘法算子的紧凑性和平均遍历性的不同结果。本研究将这些算子的性质与定义这些算子的符号和权重的性质联系起来。

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来源期刊

Mathematische Nachrichten 数学-数学

CiteScore

1.50

自引率

0.00%

发文量

157

审稿时长

4-8 weeks

期刊介绍： Mathematische Nachrichten - Mathematical News publishes original papers on new results and methods that hold prospect for substantial progress in mathematics and its applications. All branches of analysis, algebra, number theory, geometry and topology, flow mechanics and theoretical aspects of stochastics are given special emphasis. Mathematische Nachrichten is indexed/abstracted in Current Contents/Physical, Chemical and Earth Sciences; Mathematical Review; Zentralblatt für Mathematik; Math Database on STN International, INSPEC; Science Citation Index

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