Self-Adjoint and Co-isometry Composition and Weighted Composition Operators on Fock-Type Spaces

被引：0
作者：
Anuradha Gupta
Geeta Yadav
机构：
[1] University of Delhi,Department of Mathematics, Delhi College of Arts and Commerce
[2] University of Delhi,Department of Mathematics
来源：
Iranian Journal of Science | 2024年 / 48卷
关键词：
Co-isometry; Fock-type space; Self-adjoint; Weighted composition operator; 47B33; 47B38;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we obtain characterizations for adjoint of a composition and weighted composition operator to be composition and weighted composition operator on Fψ2,\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$F_{\psi }^2,$$\end{document} respectively. We study the co-isometry composition and weighted composition operators on Fψ2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$F_{\psi }^2$$\end{document}.
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页码：469 / 478
页数：9
相关论文
共 29 条
[1]  
Bommier-Hato H(2018)Big Hankel operators on vector-valued Fock spaces in Integr Equ Oper Theory 90 2-998
[2]  
Constantin O(2010)Hankel operators and the Stieltjes moment problem J Funct Anal 258 978-887
[3]  
Bommier-Hato H(2003)Composition operators on the Fock space Acta Sci Math 69 871-1220
[4]  
Youssfi EH(2017)Some characterizations for composition operators on the Fock spaces J Math Anal Appl 455 1204-856
[5]  
Carswell BJ(2014)Normal and isometric weighted composition operators on the Fock space Bull Lond Math Soc 46 847-656
[6]  
MacCluer BD(2012)Some classes of composition operators on the Fock space Int J Contemp Math Sci 7 649-14
[7]  
Schuster A(2023)Composition operators on Fock-type spaces Indian J Pure Appl Math 54 1-201
[8]  
Jiang L(2013)Hankel operators on Fock spaces and related Bergman kernel estimates J Geom Anal 23 170-122
[9]  
Prajitura GT(1894)Recherches sur les fractions continues Ann Fac Sci Toulouse 8 1-47
[10]  
Zhao R(1895)Recherches sur les fractions continues Ann Fac Sci Toulouse 9 5-1410
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