Boundedness and Compactness of Weighted Composition Operators on Fock Spaces Fp(ℂ)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$\mathcal {F}^{p}(\mathbb {C})$\end{document}

被引:0
|
作者
Pham Viet Hai
Le Hai Khoi
机构
[1] Nanyang Technological University (NTU),Division of Mathematical Sciences, School of Physical and Mathematical Sciences
关键词
Fock space; Weighted composition operator; Boundedness; Compactness; 30B50; 30E20;
D O I
10.1007/s40306-016-0174-z
中图分类号
学科分类号
摘要
In this paper, we study weighted composition operators on the Fock spaces which are non-Hilbert spaces. Criteria for boundedness and compactness of such operators are obtained. Our results contain the corresponding results for Fock spaces which are Hilbert ones, as particular cases.
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页码:531 / 537
页数:6
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