Toeplitz Operators Associated with Measures and the Dixmier Trace on the Hardy Space

被引：5

作者：

Jiang, Liangying ^{[1
]}

Wang, Yi ^{[2
]}

Xia, Jingbo ^{[2
]}

机构：

[1] Shanghai Lixin Univ Accounting & Finance, Dept Math & Stat, Shanghai 201209, Peoples R China

[2] SUNY Buffalo, Dept Math, Buffalo, NY 14260 USA

来源：

COMPLEX ANALYSIS AND OPERATOR THEORY | 2020年 / 14卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Hardy space; Toeplitz operator associated with measure; Norm ideal; Dixmier trace; HANKEL-OPERATORS; QUOTIENT MODULES; MEMBERSHIP;

D O I：

10.1007/s11785-020-00988-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let mu be a regular Borel measure on the open unit ball B in C-n. By a natural formula, it gives rise to a Toeplitz operator T mu on the Hardy space H-2(S). We characterize the membership of Ts mu, 0 < s = 1, in any norm ideal C-Phi that satisfies condition (DQK). The same techniques allow us to compute the Dixmier trace of T-mu when T-mu. C-1(+).

引用

页数：58

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