Skew Carleson Measures in Strongly Pseudoconvex Domains

被引：0
作者：
Marco Abate
Jasmin Raissy
机构：
[1] Università di Pisa,Dipartimento di Matematica
[2] Université de Toulouse,Institut de Mathématiques de Toulouse, UMR5219, CNRS, UPS IMT
来源：
Complex Analysis and Operator Theory | 2019年 / 13卷
关键词：
Carleson measure; Toeplitz operator; Strongly pseudoconvex domain; Weighted Bergman space; Primary 32A36; Secondary 32A25; 32Q45; 32T15; 46E22; 46E15; 47B35;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Given a bounded strongly pseudoconvex domain D in Cn\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathbb {C}^n$$\end{document} with smooth boundary, we give a characterization through products of functions in weighted Bergman spaces of (λ,γ)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$(\lambda ,\gamma )$$\end{document}-skew Carleson measures on D, with λ>0\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\lambda >0$$\end{document} and γ>1-1n+1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\gamma >1-\frac{1}{n+1}$$\end{document}.
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页码：405 / 429
页数：24
相关论文
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