COMPACT DOUBLE DIFFERENCES OF COMPOSITION OPERATORS ON THE BERGMAN SPACES OVER THE BALL

被引：1

作者：

Choe, Boo Rim ^{[1
]}

Koo, Hyungwoon ^{[1
]}

Yang, Jongho ^{[2
]}

机构：

[1] Korea Univ, Dept Math, Seoul 02841, South Korea

[2] Korea Natl Univ Educ, Dept Math Educ, Chungbok 28173, South Korea

来源：

TOHOKU MATHEMATICAL JOURNAL | 2019年 / 71卷 / 04期

关键词：

Composition operator; compact operator; double difference; weighted Bergman space; ball;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Choe et al. have recently characterized compact double differences formed by four composition operators acting on the standard weighted Bergman spaces over the disk of the complex plane. In this paper, we extend such a result to the ball setting. Our characterization is obtained under a suitable restriction on inducing maps, which is automatically satisfied in the case of the disk. We exhibit concrete examples, for the first time even for single composition operators, which shows that such a restriction is essential in the case of the ball.

引用

页码：609 / 637

页数：29

共 13 条

[1]

[Anonymous], 1974, Measure Theory

[2] Compact double differences of composition operators on the Bergman spaces [J].