Algebraic Properties of Toeplitz and Small Hankel Operators on the Harmonic Bergman Space

被引：0

作者：

Hong Yan GUAN ^{[1
,2
]}

Yu Feng LU ^{[1
]}

机构：

[1] School of Mathematical Sciences,Dalian University of Technology

[2] School of Mathematics and Systems Science,Shenyang Normal University

来源：

Acta Mathematica Sinica(English Series) | 2014年 / 30卷 / 08期

基金：

中国国家自然科学基金;

关键词：

Toeplitz operator; small Hankel operator; quasihomogeneous symbols; harmonic Bergman space; Mellin transform;

D O I：

暂无

中图分类号：

O177 [泛函分析];

学科分类号：

070104 ;

摘要：

In this paper,we discuss some algebraic properties of Toeplitz operators and small Hankel operators with radial and quasihomogeneous symbols on the harmonic Bergman space of the unit disk in the complex plane C.We solve the product problem of quasihomogeneous Toeplitz operator and quasihomogeneous small Hankel operator.Meanwhile,we characterize the commutativity of quasihomogeneous Toeplitz operator and quasihomogeneous small Hankel operator.

引用

页码：1395 / 1406

页数：12

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