Carleson measures on Dirichlet type spaces in the quaternionic unit ball

被引：0
作者：
Sanjay Kumar
Vishal Sharma
机构：
[1] Central University of Jammu,Department of Mathematics
来源：
Advances in Operator Theory | 2022年 / 7卷
关键词：
Carleson measure; Dirichlet type spaces; Slice regular functions; 30D45; 47B33; 47B38;
D O I：
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摘要：
In this paper, we characterize Carleson measures on the Dirichlet type space Dαp\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathcal D_{\alpha }^{p}$$\end{document} for different values of p, q and α\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\alpha$$\end{document} and in terms of axially symmetric completion of a pseudohyperbolic disc.
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