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

被引：0
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作者：
Li He
Peiying Huang
Young Joo Lee
机构：
[1] Guangzhou University,School of Mathematics and Information Science
[2] Chonnam National University,Department of Mathematics
来源：
Complex Analysis and Operator Theory | 2021年 / 15卷
关键词：
Hardy–Sobolev spaces; Weighted Dirichlet spaces; Dual Toeplitz operator; Primary 47B35; Secondary 32A37;
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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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