(m,λ)-Berezin Transform on the Weighted Bergman Spaces over the Polydisk

被引：0
|
作者：
Li, Ran [1 ]
Lu, Yufeng [1 ]
机构：
[1] Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China
来源：
JOURNAL OF FUNCTION SPACES | 2016年 / 2016卷
关键词：
M-BEREZIN TRANSFORM; OPERATORS; APPROXIMATION; ALGEBRAS;
D O I：
10.1155/2016/6804235
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove that every bounded linear operator on weighted Bergman space over the polydisk can be approximated by Toeplitz operators under some conditions. The main tool here is the so-called (m,lambda)-Berezin transform. In particular, our results generalized the results of K. Nam and D.C. Zheng to the case of operators acting on A(lambda)(2) (D-n).
引用
收藏
页数：11
相关论文
共 50 条
  • [41] Eigenvalues and Spectra of Composition Operators Acting on Weighted Bergman Spaces of Infinite Order on the Unit Polydisk
    Elke Wolf
    Mediterranean Journal of Mathematics, 2010, 7 : 565 - 572
  • [42] The Weighted Super Bergman Kernels Over the Supermatrix Spaces
    Feng, Zhiming
    MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY, 2015, 18 (01)
  • [43] BMO on Weighted Bergman Spaces Over Tubular Domains
    Ding, Jiaqing
    Li, Haichou
    Fu, Zhiyuan
    Zhang, Yanhui
    COMPLEX ANALYSIS AND OPERATOR THEORY, 2025, 19 (03)
  • [44] The Weighted Super Bergman Kernels Over the Supermatrix Spaces
    Zhiming Feng
    Mathematical Physics, Analysis and Geometry, 2015, 18
  • [45] Weighted holomorphic Besov spaces on the polydisk
    Harutyunyan, Anahit V.
    Lusky, Wolfgang
    JOURNAL OF FUNCTION SPACES AND APPLICATIONS, 2011, 9 (01): : 1 - 16
  • [46] BMO on Weighted Bergman Spaces Over Tubular DomainsBMO on Weighted Bergman Spaces over Tubular DomainsJ. Ding et al.
    Jiaqing Ding
    Haichou Li
    Zhiyuan Fu
    Yanhui Zhang
    Complex Analysis and Operator Theory, 2025, 19 (3)
  • [47] Pointwise multipliers from weighted Bergman spaces and hardy spaces to weighted Bergman spaces
    Zhao, R
    ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA, 2004, 29 (01) : 139 - 150
  • [48] THE BEREZIN TRANSFORM AND mTH-ORDER BERGMAN METRIC
    Li, Bo
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2011, 363 (06) : 3031 - 3056
  • [49] Weighted Bergman Spaces
    Luis Javier Carmona, L.
    Feliciano Resendis Ocampo, Lino
    Manuel Tovar Sanchez, Luis
    HYPERCOMPLEX ANALYSIS: NEW PERSPECTIVES AND APPLICATIONS, 2014, : 89 - 110
  • [50] CARLESON MEASURES FOR BERGMAN SPACES AND THEIR DUAL BEREZIN TRANSFORMS
    Choe, Boo Rim
    Koo, Hyungwoon
    Stessin, Michael
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2009, 137 (12) : 4143 - 4155
12345