2-Complex Symmetric Weighted Composition Operators on the Weighted Bergman Spaces of the Half-Plane

被引：3

作者：

Xue, Yan-Fu ^{[1
]}

Jiang, Zhi-Jie ^{[1
,2
]}

Huang, Cheng-Shi ^{[1
]}

机构：

[1] Sichuan Univ Sci & Engn, Sch Math & Stat, Zigong 643000, Sichuan, Peoples R China

[2] Sichuan Univ Sci & Engn, South Sichuan Ctr Appl Math, Zigong 643000, Sichuan, Peoples R China

来源：

COMPLEX ANALYSIS AND OPERATOR THEORY | 2023年 / 17卷 / 07期

关键词：

Weighted Bergman space on the right half-plane; Weighted composition operator; 2-Complex symmetric operator; Reproducing kernel;

D O I：

10.1007/s11785-023-01418-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the paper, 2-complex symmetric weighted composition operators induced by three type symbols on the weighted Bergman spaces of the right half-plane with three conjugations J f (z) = f (z), Js <(f (<(z)over bar>))over bar> = <(f (<(z)over bar> + is))over bar> and J(*) f (z) = 1/z(alpha+2) <(f (1/<(z)over bar>))over bar> are characterized by building the relations between some parameters. Some examples of such operators are also given.

引用

页数：17

共 50 条

[21] Weighted composition operators on weighted Bergman spaces of bounded symmetric domains
Kumar, Sanjay
Singh, Kanwar Jatinder
PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2007, 117 (02): : 185 - 196
[22] Weighted composition operators on weighted Bergman spaces of bounded symmetric domains
Sanjay Kumar
Kanwar Jatinder Singh
Proceedings Mathematical Sciences, 2007, 117 : 185 - 196
[23] COMPLEX SYMMETRIC WEIGHTED COMPOSITION-DIFFERENTIATION OPERATORS OF ORDER n ON THE WEIGHTED BERGMAN SPACES
Moradi, Mahbube
Fatehi, Mahsa
Hammond, Christopher N. B.
OPERATORS AND MATRICES, 2022, 16 (02): : 479 - 494
[24] Composition operators from the weighted Bergman space to the nth weighted-type space on the upper half-plane
Stevic, Stevo
APPLIED MATHEMATICS AND COMPUTATION, 2010, 217 (07) : 3379 - 3384
[25] Real symmetric, unitary, and complex symmetric weighted composition operators on Bergman spaces of polydisk
Hai, Pham Viet
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2023, 529 (01)
[26] Weighted composition operators between Hardy and growth spaces on the upper half-plane
Stevic, Stevo
Sharma, Ajay K.
APPLIED MATHEMATICS AND COMPUTATION, 2011, 217 (10) : 4928 - 4934
[27] On Toeplitz Operators on the Weighted Harmonic Bergman Space on the Upper Half-Plane
Maribel Loaiza
Carmen Lozano
Complex Analysis and Operator Theory, 2015, 9 : 139 - 165
[28] On Toeplitz Operators on the Weighted Harmonic Bergman Space on the Upper Half-Plane
Loaiza, Maribel
Lozano, Carmen
COMPLEX ANALYSIS AND OPERATOR THEORY, 2015, 9 (01) : 139 - 165
[29] Composition　Operators　on　Weighted　Bergman　Spaces　of　Bounded　Symmetric　Domains
XU XianminDept.of Mathematics
Journal of Systems Science and Systems Engineering, 1996, (01) : 90 - 102
[30] Order Bounded and 2-Complex Symmetric Weighted Superposition Operators on Fock Spaces
Jiang, Zhi-Jie
SYMMETRY-BASEL, 2024, 16 (07):

← 1 2 3 4 5 →