Sharp Riesz-Fejér Inequality for Harmonic Hardy Spaces

被引：0
作者：
Petar Melentijević
Vladimir Božin
机构：
[1] University of Belgrade,Faculty of Mathematics
来源：
Potential Analysis | 2021年 / 54卷
关键词：
Riesz-Fejér inequality; Schur test; Harmonic functions; Sharp estimates; Primary 31A05; Secondary 30H10;
D O I：
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摘要：
We prove sharp version of Riesz-Fejér inequality for functions in harmonic Hardy space hp(D)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$h^{p}(\mathbb {D})$\end{document} on the unit disk D\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$\mathbb {D}$\end{document}, for p > 1, thus extending the result from Kayumov et al. (Potential Anal. 52, 105–113, 2020) and resolving the posed conjecture.
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页码：575 / 580
页数：5
相关论文
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