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

被引：1

作者：

Santacreu, Daniel ^{[1
,2
]}

机构：

[1] Univ Valencia, Dept Anal Matemat, Burjassot, Valencia, Spain

[2] Univ Valencia, Dept Anal Matemat, Doctor Moliner 50, Burjassot 46100, Valencia, Spain

来源：

MATHEMATISCHE NACHRICHTEN | 2024年 / 297卷 / 07期

关键词：

bounded type; holomorphic function on a Banach space; mean ergodic; power bounded; weighted composition operator; COMPACT HOMOMORPHISMS; MEAN ERGODICITY; ALGEBRAS;

D O I：

10.1002/mana.202300430

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We obtain different results about the mean ergodicity of weighted composition operators when acting on the spaces H(B)$H(B)$, Hb(B)$H_b(B)$, and H infinity(B)$H<^>\infty (B)$, where B$B$ 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.

引用

页码：2609 / 2623

页数：15

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