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

被引：5

作者：

Fernandez, Arran ^{[1
]}

Restrepo, Joel E. ^{[2
,3
]}

Suragan, Durvudkhan ^{[2
]}

机构：

[1] Eastern Mediterranean Univ, Dept Math, Via Mersin 10, Famagusta, Northern Cyprus, Turkey

[2] Nazarbayev Univ, Dept Math, Nur Sultan, Kazakhstan

[3] Univ Antioquia, Inst Math, Medellin, Colombia

来源：

MONATSHEFTE FUR MATHEMATIK | 2022年 / 197卷 / 02期

关键词：

Generalised Holder space; Lipschitz type condition; Fourier transform; Moduli of continuity; Translation operator; Symmetric space; GROWTH-PROPERTIES; TRANSFORMS;

D O I：

10.1007/s00605-021-01621-w

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Sufficient and necessary results have been proven on Lipschitz type integral conditions and bounds of its Fourier transform for an L-2 function, in the setting of Riemannian symmetric spaces of rank 1 whose growth depends on a kth-order modulus of continuity.

引用

页码：353 / 364

页数：12

共 15 条

[1]

[Anonymous], 1982, Nauka

[2]

Bary NK., 1956, T MOSK MAT OBSHCH, V5, P483

[3] Growth properties of Fourier transforms via moduli of continuity [J].