DIXMIER AREA OF HANKEL OPERATORS ON THE BERGMAN SPACES BY WEIGHT

被引：0
|
作者：
Tytgat, Romaric [1 ]
机构：
[1] Aix Marseille Univ, CMI, F-13453 Marseille 13, France
来源：
CZECHOSLOVAK MATHEMATICAL JOURNAL | 2015年 / 65卷 / 02期
关键词：
Hankel operator; Dixmier trace; Bergman space;
D O I：
10.1007/s10587-015-0185-2
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we give theoretical results on Macaev ideal and Dixmier trace. Then we give a characterization of antiholomorphic symbols such that the Hankel operator on a Bergman weighted space is in an ideal of Macaev and we give the Dixmier trace. For this, we look at the behavior of Schatten's norms when p tends to 1, using results of Engli and Rochberg on Bergman space. We also give results on powers of such operators.
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页码：399 / 426
页数：28
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