SCHATTEN p CLASS HANKEL OPERATORS ON THE SEGAL-BARGMANN SPACE H2(Cn,dμ) FOR 0 < p < 1

被引：0

作者：

Isralowitz, J. ^{[1
]}

机构：

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

来源：

JOURNAL OF OPERATOR THEORY | 2011年 / 66卷 / 01期

关键词：

Schatten class; Hankel operators; Segal-Bargmann space;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider Hankel operators on the Segal-Bargmann space H2(C-n, d mu). We obtain necessary and sufficient conditions for the simultaneous membership of H-f and H-(f) over bar in the Schatten class S-p for 0 < p < 1. In particular, we show that the necessary and sufficient conditions obtained by J. Xia and D. Zheng for the case 1 <= p < infinity extends to the case 0 < p < 1.

引用

页码：145 / 160

页数：16

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SCHATTEN p CLASS HANKEL OPERATORS ON THE SEGAL-BARGMANN SPACE H2(Cn,dμ) FOR 0 &lt; p &lt; 1

SCHATTEN p CLASS HANKEL OPERATORS ON THE SEGAL-BARGMANN SPACE H2(Cn,dμ) FOR 0 < p < 1