Sums of Dual Toeplitz Products on the Orthogonal Complements of the Hardy-Sobolev Spaces

被引：5
|
作者：
He, Li [1 ]
Huang, Peiying [1 ]
Lee, Young Joo [2 ]
机构：
[1] Guangzhou Univ, Sch Math & Informat Sci, Guangzhou 510006, Peoples R China
[2] Chonnam Natl Univ, Dept Math, Gwangju 61186, South Korea
来源：
COMPLEX ANALYSIS AND OPERATOR THEORY | 2021年 / 15卷 / 08期
基金：
中国国家自然科学基金; 新加坡国家研究基金会;
关键词：
Hardy-Sobolev spaces; Weighted Dirichlet spaces; Dual Toeplitz operator; ALGEBRAIC PROPERTIES; OPERATORS;
D O I：
10.1007/s11785-021-01170-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the dual Toeplitz operators acting on the orthogonal complements of Hardy-Sobolev spaces of the unit ball. We first characterize the compactness of finite sums of dual Toeplitz products. Using this result, we next study the problem of when finite sums of products of two dual Toeplitz operators is another dual Toeplitz operator. Our results extend several known results on the Dirichlet spaces to the Hardy-Sobolev spaces.
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页数：23
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