Sobolev spaces of vector-valued functions on compact groups

被引：0
作者：
Mensah, Yaogan [1 ]
机构：
[1] Univ Lome, Dept Math, POB 1515 Lome1, Lome, Togo
来源：
MATHEMATICAL COMMUNICATIONS | 2025年 / 30卷 / 01期
关键词：
vector-valued function; Fourier transform; Sobolev space; continuous embedding;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper deals with a class of Sobolev spaces of vector-valued functions a compact group. Using some results among which are the inversion formula and the Plancherel type theorem involving the Fourier transform of vector-valued functions, define Sobolev spaces of Bessel potential type. Then, some continuous embedding results are proved.
引用
收藏
页码：153 / 160
页数：8
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