Weighted Space and Bloch-Type Space on the Unit Ball of an Infinite Dimensional Complex Banach Space

被引：5

作者：

Tu, Zhenhan ^{[1
]}

Xiong, Liangpeng ^{[1
]}

机构：

[1] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Hubei, Peoples R China

来源：

BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY | 2019年 / 45卷 / 05期

基金：

中国国家自然科学基金;

关键词：

Boundedness; Complex Banach space; Compactness; Weighted composition operator; Weighted Bloch-type space; BOUNDED SYMMETRIC DOMAINS; EXTENDED CESARO OPERATORS; ZYGMUND SPACES; H-INFINITY; ORLICZ;

D O I：

10.1007/s41980-019-00204-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let B-X be the open unit ball of a complex Banach space X, which may be infinite dimensional. The weighted composition operator and weighted space defined on B-X are introduced. We obtain the boundedness and compactness of the weighted composition operator from the Bloch-type spaces to the weighted spaces, and some properties with the Bloch-type spaces are given. Our main results generalize the previous works on the Euclidean unit ball B-n to the case of B-X.

引用

页码：1389 / 1406

页数：18

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