Generalized weighted composition operators from α-Bloch spaces into weighted-type spaces

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作者
Songxiao Li
Stevo Stević
机构
[1] Macau University of Science and Technology,Institute of Systems Engineering
[2] Mathematical Institute of the Serbian Academy of Sciences,Operator Theory and Applications Research Group, Department of Mathematics
[3] King Abdulaziz University,undefined
关键词
generalized weighted composition operators; weighted-type space; -Bloch space; boundedness; compactness; essential norm; 47B33; 30H30;
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摘要
Some criteria for the boundedness, as well as for the compactness, of the generalized weighted composition operator Dφ,un\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$D^{n}_{\varphi, u}$\end{document} from α-Bloch spaces into weighted-type spaces are given. Estimates for the norm and the essential norm of the operator are also given. Our results extend and complement some results in the literature.
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