(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

页数：11

共 39 条

[31] Mixed norm estimate for Radon transform on weighted Lp spaces
Kumar, Ashisha
Ray, Swagato K.
PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2010, 120 (04): : 441 - 456
[32] Essentially normal quotient weighted Bergman modules over the bidisk and distinguished varieties
Guo, Kunyu
Wang, Penghui
Zhao, Chong
ADVANCES IN MATHEMATICS, 2023, 432
[33] WEIGHTED ESTIMATES FOR THE k-PLANE TRANSFORM OF RADIAL FUNCTIONS ON EUCLIDEAN SPACES
Kumar, Ashisha
Ray, Swagato K.
ISRAEL JOURNAL OF MATHEMATICS, 2012, 188 (01) : 25 - 56
[34] The (m, q)-Isometric Weighted Shifts on l p Spaces
Gu, Caixing
INTEGRAL EQUATIONS AND OPERATOR THEORY, 2015, 82 (02) : 157 - 187
[35] (A, m)-Isometric Unilateral Weighted Shifts in Semi-Hilbertian Spaces
Rabaoui, R.
Saddi, A.
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2018, 41 (01) : 371 - 392
[36] ANALYTIC m-ISOMETRIES AND WEIGHTED DIRICHLET-TYPE SPACES
Ghara, Soumitra
Gupta, Rajeev
Reza, Md Ramiz
JOURNAL OF OPERATOR THEORY, 2022, 88 (02) : 445 - 477
[37] M-Hazy Vector Spaces over M-Hazy Field
Mehmood, Faisal
Shi, Fu-Gui
MATHEMATICS, 2021, 9 (10)
[38] A Littlewood-type theorem for random weighted Bergman functions and random power series in L2,? 0 spaces
Wang, Cui
FILOMAT, 2023, 37 (16) : 5215 - 5224
[39] AFFINE MAPPINGS AND MULTIPLIERS FOR WEIGHTED ORLICZ SPACES OVER THE AFFINE GROUP R+ x R
Uster, Ruya
COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, 2024, 73 (01): : 153 - 164

← 1 2 3 4 →