Izvorni znanstveni članak
https://doi.org/10.64785/mc.30.1.9
Sobolev spaces of vector-valued functions on compact groups
Yaogan Mensah
; Department of Mathematics, University of Lome, Lome, Togo
*
* Dopisni autor.
Sažetak
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.
Ključne riječi
vector-valued function; Fourier transform; Sobolev space; continuous embedding
Hrčak ID:
329428
URI
Datum izdavanja:
11.3.2025.
Posjeta: 476 *