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

共 50 条

[31] Commuting dual Toeplitz operators on the harmonic Bergman space
JingYu Yang
YuFeng Lu
Science China Mathematics, 2015, 58 : 1461 - 1472
[32] Commuting dual Toeplitz operators on the harmonic Bergman space
YANG JingYu
LU YuFeng
ScienceChina(Mathematics), 2015, 58 (07) : 1461 - 1472
[33] On C*-Algebras of Toeplitz Operators on the Harmonic Bergman Space
Maribel Loaiza
Carmen Lozano
Integral Equations and Operator Theory, 2013, 76 : 105 - 130
[34] Commuting Quasihomogeneous Toeplitz Operators on the Harmonic Bergman Space
Dong, Xing-Tang
Zhou, Ze-Hua
COMPLEX ANALYSIS AND OPERATOR THEORY, 2013, 7 (04) : 1267 - 1285
[35] On C*-Algebras of Toeplitz Operators on the Harmonic Bergman Space
Loaiza, Maribel
Lozano, Carmen
INTEGRAL EQUATIONS AND OPERATOR THEORY, 2013, 76 (01) : 105 - 130
[36] Commutants of Analytic Toeplitz Operators on the Harmonic Bergman Space
Boo Rim Choe
Young Joo Lee
Integral Equations and Operator Theory, 2004, 50 : 559 - 564
[37] Ranks of commutators of Toeplitz operators on the harmonic Bergman space
Chen, Yong
Koo, Hyungwoon
Lee, Young Joo
INTEGRAL EQUATIONS AND OPERATOR THEORY, 2013, 75 (01) : 31 - 38
[38] Commuting dual Toeplitz operators on the harmonic Bergman space
Yang JingYu
Lu YuFeng
SCIENCE CHINA-MATHEMATICS, 2015, 58 (07) : 1461 - 1472
[39] Characterizations of Bergman space Toeplitz operators with harmonic symbols
Louhichi, Issam
Olofsson, Anders
JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2008, 617 : 1 - 26
[40] Commutants of analytic Toeplitz operators on the harmonic Bergman space
Choe, BR
Lee, YJ
INTEGRAL EQUATIONS AND OPERATOR THEORY, 2004, 50 (04) : 559 - 564

← 1 2 3 4 5 →