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

被引：5
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
收藏
页数：17
相关论文
共 22 条
[1]  
Abbas Z., 2010, Appl. Math. Sci, V4, P2049
[2]   On m-Complex Symmetric Operators [J].
Cho, Muneo ;
Ko, Eungil ;
Lee, Ji Eun .
MEDITERRANEAN JOURNAL OF MATHEMATICS, 2016, 13 (04) :2025-2038
[3]   COMPOSITION OPERATORS ON WEIGHTED BERGMAN SPACES OF A HALF-PLANE [J].
Elliott, Sam J. ;
Wynn, Andrew .
PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 2011, 54 :373-379
[4]   Complex symmetric weighted composition operators [J].
Fatehi, Mahsa .
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2019, 64 (04) :710-720
[5]   Complex Symmetric Composition Operators Induced by Linear Fractional Maps [J].
Gao, Yong-Xin ;
Zhou, Ze-Hua .
INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2020, 69 (02) :367-384
[6]   Complex symmetric operators and applications [J].
Garcia, SR ;
Putinar, M .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2006, 358 (03) :1285-1315
[7]   Complex symmetric operators and applications II [J].
Garcia, Stephan Ramon ;
Putinar, Mihai .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2007, 359 (08) :3913-3931
[8]   Mathematical and physical aspects of complex symmetric operators [J].
Garcia, Stephan Ramon ;
Prodan, Emil ;
Putinar, Mihai .
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2014, 47 (35)
[9]   SOME NEW CLASSES OF COMPLEX SYMMETRIC OPERATORS [J].
Garcia, Stephan Ramon ;
Wogen, Warren R. .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2010, 362 (11) :6065-6077
[10]   Complex symmetric partial isometries [J].
Garcia, Stephan Ramon ;
Wogen, Warren R. .
JOURNAL OF FUNCTIONAL ANALYSIS, 2009, 257 (04) :1251-1260
123