%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 }