COMPACTNESS AND WEAK COMPACTNESS OF WEIGHTED COMPOSITION OPERATORS ON BMOA

被引：0

作者：

Laitila, Jussi ^{[1
]}

Lindstrom, Mikael ^{[2
]}

Norrbo, David ^{[2
]}

机构：

[1] Univ Helsinki, Dept Math & Stat, POB 68, FI-00014 Helsinki, Finland

[2] ABO Akad Univ, Dept Math, FI-20500 Turku, Finland

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2023年 / 151卷 / 03期

关键词：

Weak compactness; compactness; complete continuity; composition operator; weighted composition operator; VMOA; BMOA; ESSENTIAL NORM;

D O I：

10.1090/proc/16203

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that a weighted composition operator W psi,phi is compact on BMOA precisely when it is unconditionally converging. As a direct con-sequence to this result we deduce that all weakly compact or completely con-tinuous weighted composition operators on BMOA are compact. The proof of this result is based on a new simplified function-theoretic characterization of the compactness of weighted composition operators on BMOA.

引用

页码：1195 / 1207

页数：13

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