COMPACT TOEPLITZ OPERATORS PRODUCTS ON HARDY-SOBOLEV SPACES OVER THE UNIT POLYDISK

被引：0
作者：
He, Li [1 ]
Cao, Guangfu [2 ]
机构：
[1] Guangzhou Univ, Sch Math & Informat Sci, Guangzhou, Peoples R China
[2] South China Agr Univ, Dept Math, Guangzhou, Peoples R China
来源：
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2021年 / 51卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Hardy-Sobolev space; Toeplitz operator; Fredholm operator;
D O I：
10.1216/rmj.2021.51.549
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the compactness of finite sums of products of two Toeplitz operators on Hardy-Sobolev spaces over the unit polydisk H-beta(2)(D-n). We calculate the essential norm of these operators and answer the question of when a Toeplitz operator on H-beta(2)(D-n) is Fredholm.
引用
收藏
页码：549 / 570
页数：22
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