Lp-Lq\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\varvec{L^p-L^q}}$$\end{document} estimates for generalized spherical averages

被引：0
作者：
S Bagchi
S Hait
K S Senthil Raani
机构：
[1] Indian Institute of Science Educationand Research,Department of Mathematical Sciences
[2] Indian Institute of Science,Department of Mathematics
[3] Indian Institute of Science Education and Research,Department of Mathematical Sciences
来源：
Proceedings - Mathematical Sciences | 2022年 / 132卷 / 1期
关键词：
Bessel functions; generalized spherical means; sparse bounds; weights; Primary: 42B15; Secondary: 42B25; 42B37;
D O I：
10.1007/s12044-022-00683-6
中图分类号：
学科分类号：
摘要：
We study Lp\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$L^p$$\end{document} improving estimates and continuity properties of maximal operators for generalized spherical means. Once these features are obtained, they are applied to get sparse bounds on lacunary and full generalized spherical averages.
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