PRODUCTS OF TOEPLITZ OPERATORS ON THE HARMONIC BERGMAN SPACE

被引：0
|
作者：
Dong, Xing-Tang [1 ]
Zhou, Ze-Hua [1 ]
机构：
[1] Tianjin Univ, Dept Math, Tianjin 300072, Peoples R China
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2010年 / 138卷 / 05期
基金：
中国国家自然科学基金;
关键词：
Toeplitz operators; harmonic Bergman space; quasihomogeneous symbols; TRANSFORM; SYMBOLS;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we first discuss some basic results concerning Toeplitz operators with quasihomogeneous symbols (i.e., symbols being of the form e(ip theta) phi, where phi is a radial function) on the harmonic Bergman space. Then we determine when the product of two Toeplitz operators with quasihomogeneous symbols is a Toeplitz operator.
引用
收藏
页码：1765 / 1773
页数：9
相关论文
共 50 条
  • [1] FINITE RANK PRODUCTS OF TOEPLITZ OPERATORS ON THE HARMONIC BERGMAN SPACE
    Choe, Boo Rim
    Koo, Hyungwoon
    Na, Kyunguk
    ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2011, 41 (01) : 45 - 78
  • [2] Products of Toeplitz Operators on the Bergman Space
    Issam Louhichi
    Elizabeth Strouse
    Lova Zakariasy
    Integral Equations and Operator Theory, 2006, 54 : 525 - 539
  • [3] Products of Toeplitz operators on the Bergman space
    Ahern, P
    Cuckovic, Z
    ILLINOIS JOURNAL OF MATHEMATICS, 2001, 45 (01) : 113 - 121
  • [4] Products of Toeplitz operators on the Bergman space
    Louhichi, I
    Strouse, E
    Zakariasy, L
    INTEGRAL EQUATIONS AND OPERATOR THEORY, 2006, 54 (04) : 525 - 539
  • [5] Zero Products and Finite Rank of Toeplitz Operators on the Harmonic Bergman Space
    Qian DING
    Yinyin HU
    Liu LIU
    Yufeng LU
    Journal of Mathematical Research with Applications, 2017, 37 (03) : 325 - 334
  • [6] Positivity of Toeplitz Operators on Harmonic Bergman Space
    Shu, Yong Lu
    Zhao, Xian Feng
    ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2016, 32 (02) : 175 - 186
  • [7] A question of Toeplitz operators on the harmonic Bergman space
    Ding, Xuanhao
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 344 (01) : 367 - 372
  • [8] Quasihomogeneous Toeplitz operators on the harmonic Bergman space
    Issam Louhichi
    Lova Zakariasy
    Archiv der Mathematik, 2012, 98 : 49 - 60
  • [9] Positivity of Toeplitz Operators on Harmonic Bergman Space
    Yong Lu SHU
    Xian Feng ZHAO
    Acta Mathematica Sinica, 2016, 32 (02) : 175 - 186
  • [10] Positivity of Toeplitz Operators on Harmonic Bergman Space
    Yong Lu SHU
    Xian Feng ZHAO
    Acta Mathematica Sinica,English Series, 2016, (02) : 175 - 186
12345