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
收藏
页码：1195 / 1207
页数：13
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