Difference of Weighted Composition Operators Over the Ball

被引：0
|
作者：
Choe, Boo Rim [1 ]
Choi, Koeun [2 ]
Koo, Hyungwoon [1 ]
Park, Inyoung [2 ]
机构：
[1] Korea Univ, Dept Math, Seoul 02841, South Korea
[2] Ewha Womans Univ, Inst Math Sci, Seoul 03760, South Korea
来源：
COMPLEX ANALYSIS AND OPERATOR THEORY | 2024年 / 18卷 / 02期
基金：
新加坡国家研究基金会;
关键词：
Difference; Weighted composition operator; Carleson measure; Reproducing Kernel Thesis; Boundedness; Compactness; Bergman space; BERGMAN SPACES;
D O I：
10.1007/s11785-023-01477-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Recently, Choe et al. obtained characterizations for bounded/compact differences of weighted composition operators acting from a standard weighted Bergman space into another over the unit disk. In this paper we extend those results to the ball setting. By devising a new approach regarding test functions, we improve the characterizations as well as the proofs. Namely, the Reproducing Kernel Thesis is added to the characterizations and our proofs, when restricted to the disk, are new and simpler.
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页数：34
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