The Dixmier trace of Hankel operators on the Bergman space

被引：15

作者：

Englis, Miroslav ^{[2
,3
]}

Rochberg, Richard ^{[1
]}

机构：

[1] Washington Univ, Dept Math, St Louis, MO 63130 USA

[2] Math Inst AS CR, Prague 11567 1, Czech Republic

[3] Silesian Univ, Math Inst, Opava 74601, Czech Republic

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2009年 / 257卷 / 05期

基金：

美国国家科学基金会;

关键词：

Hankel operator; Bergman space; Dixmier trace;

D O I：

10.1016/j.jfa.2009.05.005

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give a formula for the Dixmier trace of (big) Hankel operators on the Bergman space of the disk or of finitely connected domains. For harmonic symbols we find the regularity required of the symbol for the formula to hold. (C) 2009 Elsevier Inc. All rights reserved.

引用

页码：1445 / 1479

页数：35

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