Year: 2025
Type: article
Abstract: This paper deals with a class of Sobolev spaces of vector-valued functions on 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, we define Sobolev spaces of Bessel potential type. Then, some continuous embedding results are proved.
Source: Mathematical communications
DOI: 10.64785/mc.30.1.9
Author: Yaogan Mensah
Institution: University of Lomé
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4413993245