The Effects of Weight-Doubling Sequences on the Compactness of Differences of Composition Operators on Bergman Spaces
S. Elsamani. CENTRAL ASIAN JOURNAL OF MATHEMATICAL THEORY AND COMPUTER SCIENCES, 4 (5):
120-133(мая 2023)
Аннотация
Differences that are bounded and compact between two composition operators that are acting from the weighted Bergman space to the Lebesgue space , where and class of radial weights with a two-sided doubling requirement. New description of -Carleson measures for , with and , Using discs of pseudohyperbolic geometry is proven. This last theorem generalizes the standard definition of - Carleson uses weights as a baseline for the Bergman space he creates. with to the setting of doubling weights. The case is also briefly talked about, and a question is raised about this case.
%0 Journal Article
%1 noauthororeditor
%A Elsamani, Salih Yousuf Mohamed Salih | Shahinaz.A.
%D 2023
%J CENTRAL ASIAN JOURNAL OF MATHEMATICAL THEORY AND COMPUTER SCIENCES
%K Bergman doubling operator space, weightcomposition
%N 5
%P 120-133
%T The Effects of Weight-Doubling Sequences on the Compactness of Differences of Composition Operators on Bergman Spaces
%U https://cajmtcs.centralasianstudies.org/index.php/CAJMTCS/article/view/451/515
%V 4
%X Differences that are bounded and compact between two composition operators that are acting from the weighted Bergman space to the Lebesgue space , where and class of radial weights with a two-sided doubling requirement. New description of -Carleson measures for , with and , Using discs of pseudohyperbolic geometry is proven. This last theorem generalizes the standard definition of - Carleson uses weights as a baseline for the Bergman space he creates. with to the setting of doubling weights. The case is also briefly talked about, and a question is raised about this case.
@article{noauthororeditor,
abstract = {Differences that are bounded and compact between two composition operators that are acting from the weighted Bergman space to the Lebesgue space , where and class of radial weights with a two-sided doubling requirement. New description of -Carleson measures for , with and , Using discs of pseudohyperbolic geometry is proven. This last theorem generalizes the standard definition of - Carleson uses weights as a baseline for the Bergman space he creates. with to the setting of doubling weights. The case is also briefly talked about, and a question is raised about this case.},
added-at = {2023-10-03T14:02:05.000+0200},
author = {Elsamani, Salih Yousuf Mohamed Salih | Shahinaz.A.},
biburl = {https://www.bibsonomy.org/bibtex/29185f45205883b7bdd66b513a9a78506/centralasian_20},
interhash = {a3136bbb6cd30ff40742eff31cc42af9},
intrahash = {9185f45205883b7bdd66b513a9a78506},
issn = {2660-5309},
journal = {CENTRAL ASIAN JOURNAL OF MATHEMATICAL THEORY AND COMPUTER SCIENCES},
keywords = {Bergman doubling operator space, weightcomposition},
language = {english},
month = may,
number = 5,
pages = {120-133},
timestamp = {2023-10-03T14:57:27.000+0200},
title = {The Effects of Weight-Doubling Sequences on the Compactness of Differences of Composition Operators on Bergman Spaces},
url = {https://cajmtcs.centralasianstudies.org/index.php/CAJMTCS/article/view/451/515},
volume = 4,
year = 2023
}