Lipschitz and Fourier type conditions with moduli of continuity in rank 1 symmetric spaces

被引：0
作者：
Arran Fernandez
Joel E. Restrepo
Durvudkhan Suragan
机构：
[1] Eastern Mediterranean University,Department of Mathematics
[2] Nazarbayev University,Department of Mathematics
[3] University of Antioquia,Institute of Mathematics
来源：
Monatshefte für Mathematik | 2022年 / 197卷
关键词：
Generalised Hölder space; Lipschitz type condition; Fourier transform; Moduli of continuity; Translation operator; Symmetric space; 26A16; 42A38; 58A05;
D O I：
暂无
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学科分类号：
摘要：
Sufficient and necessary results have been proven on Lipschitz type integral conditions and bounds of its Fourier transform for an L2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$L^2$$\end{document} function, in the setting of Riemannian symmetric spaces of rank 1 whose growth depends on a kth-order modulus of continuity.
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页码：353 / 364
页数：11
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