REDUCING SUBSPACES FOR A CLASS OF TOEPLITZ OPERATORS ON THE BERGMAN SPACE OF THE BIDISK

被引:13
|
作者
Albaseer, Mohammed [1 ]
Lu, Yufeng [1 ]
Shi, Yanyue [2 ]
机构
[1] Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China
[2] Ocean Univ China, Sch Math Sci, Qingdao 266100, Peoples R China
基金
高等学校博士学科点专项科研基金;
关键词
reducing subspace; Toeplitz operator; polydisk; MULTIPLICATION OPERATORS; HARDY SPACE;
D O I
10.4134/BKMS.2015.52.5.1649
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we completely characterize the nontrivial reducing subspaces of the Toeplitz operator 17(Z1)N (z) over bar (2) M on the Bergman space A(2)(ID2), where N and M are positive integers.
引用
收藏
页码:1649 / 1660
页数:12
相关论文
共 50 条
  • [41] Kernels of Toeplitz operators on the Bergman space
    Lee, Young Joo
    [J]. CZECHOSLOVAK MATHEMATICAL JOURNAL, 2023, 73 (04) : 1219 - 1228
  • [42] TOEPLITZ-OPERATORS ON THE BERGMAN SPACE
    SUNDBERG, C
    [J]. LECTURE NOTES IN MATHEMATICS, 1984, 1043 : 274 - 275
  • [43] Projection Toeplitz Operators on the Bergman Space
    Lei Liu
    [J]. Complex Analysis and Operator Theory, 2021, 15
  • [44] Normal Toeplitz Operators on the Bergman Space
    Kim, Sumin
    Lee, Jongrak
    [J]. MATHEMATICS, 2020, 8 (09)
  • [45] ROOTS OF TOEPLITZ OPERATORS ON THE BERGMAN SPACE
    Louhichi, Issam
    Rao, N. V.
    [J]. PACIFIC JOURNAL OF MATHEMATICS, 2011, 252 (01) : 127 - 144
  • [46] Products of Toeplitz operators on the Bergman space
    Louhichi, I
    Strouse, E
    Zakariasy, L
    [J]. INTEGRAL EQUATIONS AND OPERATOR THEORY, 2006, 54 (04) : 525 - 539
  • [47] Kernels of Toeplitz operators on the Hardy space over the bidisk
    Chen, Yong
    Izuchi, Kei Ji
    Lee, Young Joo
    [J]. JOURNAL OF FUNCTIONAL ANALYSIS, 2017, 272 (09) : 3869 - 3903
  • [48] Toeplitz operators on the polyharmonic Bergman space
    Bo Zhang
    Yixin Yang
    Yufeng Lu
    [J]. Annals of Functional Analysis, 2022, 13
  • [49] BOUNDED TOEPLITZ OPERATORS ON BERGMAN SPACE
    Yan, Fugang
    Zheng, Dechao
    [J]. BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 2019, 13 (02): : 386 - 406
  • [50] Kernels of Toeplitz operators on the Bergman space
    Young Joo Lee
    [J]. Czechoslovak Mathematical Journal, 2023, 73 : 1119 - 1130