Little Hankel Operators on the Weighted Bergman Space of the Unit Ball

被引：0

作者：

Zhang Kan Lu Yufeng and Liu Chaomei School of Mathematical SciencesDalian University of TechnologyDalian College of SciencesShenyang Agricultural UniversityShenyang School of ScienceDalian Jiaotong UniversityDalian ^{[1
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机构：

来源：

CommunicationsinMathematicalResearch | 2010年 / 26卷 / 04期

关键词：

weighted Bergman space; little Hankel operator; unit ball;

D O I：

10.13447/j.1674-5647.2010.04.002

中图分类号：

O177 [泛函分析];

学科分类号：

070104 ;

摘要：

In this paper we mainly consider little Hankel operators with squareintegrable symbols on the weighted Bergman spaces of the unit ball.We obtain that Schatten class of little Hankel operators is equivalent to Schatten class of positive Toeplitz operators under the conditions that SMO(f) ∈ L p/2 (B n,dλ) and 2 ≤ p < ∞,which is very important to research the relation between Toeplitz operators and little Hankel operators.

引用

页码：304 / 312

页数：9

共 4 条

[1] 加权Bergman空间上小Hankel算子的Schatten类 [J].