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(+).
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页数：58
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