Toeplitz operators and composition operators on the q-Bergman space

被引：0
|
作者：
Houcine Sadraoui
Borhen Halouani
机构：
[1] King Saud University,Department of Mathematics, College of Science
来源：
Journal of Pseudo-Differential Operators and Applications | 2024年 / 15卷
关键词：
-Bergman space; Toeplitz operators; Hyponormal; Composition operators; Primary 47B35; 47B33; Secondary 30C40;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this work we consider Toeplitz operators and composition operators on the q-Bergman space.We give some spectral properties of Toeplitz operators in general and a sufficient condition for hyponormality of Toeplitz operators in the case of a symbol where the analytic part is a monomial. We also give a necessary condition for hyponormality in the general case of a harmonic symbol as well as a necessary and sufficient condition for such operators to commute. For composition operators we give necessary conditions and sufficient conditions for their compactness and normality, as well as necessary conditions for cohyponormality in the case of a linear fractional map and we finally compute the adjoint in the case of a linear map.
引用
收藏
相关论文
共 50 条
  • [1] Toeplitz operators and composition operators on the q-Bergman space
    Sadraoui, Houcine
    Halouani, Borhen
    JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS, 2024, 15 (01)
  • [2] Commuting Toeplitz operators and H-Toeplitz operators on Bergman space
    Ding, Qian
    AIMS MATHEMATICS, 2024, 9 (01): : 2530 - 2548
  • [3] BOUNDED TOEPLITZ OPERATORS ON BERGMAN SPACE
    Yan, Fugang
    Zheng, Dechao
    BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 2019, 13 (02): : 386 - 406
  • [4] Products of Toeplitz Operators on the Bergman Space
    Issam Louhichi
    Elizabeth Strouse
    Lova Zakariasy
    Integral Equations and Operator Theory, 2006, 54 : 525 - 539
  • [5] A GENERALIZATION OF TOEPLITZ OPERATORS ON THE BERGMAN SPACE
    Suarez, Daniel
    JOURNAL OF OPERATOR THEORY, 2015, 73 (02) : 315 - 332
  • [6] Products of Toeplitz operators on the Bergman space
    Louhichi, I
    Strouse, E
    Zakariasy, L
    INTEGRAL EQUATIONS AND OPERATOR THEORY, 2006, 54 (04) : 525 - 539
  • [7] ROOTS OF TOEPLITZ OPERATORS ON THE BERGMAN SPACE
    Louhichi, Issam
    Rao, N. V.
    PACIFIC JOURNAL OF MATHEMATICS, 2011, 252 (01) : 127 - 144
  • [8] Hyponormal Toeplitz operators on the Bergman space
    Hwang, IS
    JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2005, 42 (02) : 387 - 403
  • [9] Hyponormality of Toeplitz operators on the Bergman space
    Hwang, In Sung
    JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2008, 45 (04) : 1027 - 1041
  • [10] POSITIVE TOEPLITZ OPERATORS ON THE BERGMAN SPACE
    Das, Namita
    Sahoo, Madhusmita
    ANNALS OF FUNCTIONAL ANALYSIS, 2013, 4 (02): : 171 - 182
12345