Optimal extension of the Fourier transform and convolution operator on compact groups

被引：2
|
作者：
Kumar, Manoj [1 ]
Kumar, N. Shravan [1 ]
机构：
[1] Indian Inst Technol Delhi, Dept Math, Delhi 110016, India
来源：
INDAGATIONES MATHEMATICAE-NEW SERIES | 2020年 / 31卷 / 02期
关键词：
Compact group; Vector measure; Fourier transform; Convolution; Orlicz space; OPTIMAL DOMAINS; INTEGRAL-REPRESENTATIONS;
D O I：
10.1016/j.indag.2020.01.003
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let G be a compact group (not necessarily abelian) and let Phi be a Young function satisfying the Delta(2)-condition. We determine the optimal domain and the associated extended operator for both Fourier transform and the convolution operator defined on the Orlicz spaces L-Phi(G). (C) 2020 Royal Dutch Mathematical Society (KWG). Published by Elsevier B. V. All rights reserved.
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页码：251 / 265
页数：15
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