Sobolev spaces on hypergroups Gelfand pairs
Functional Analysis
2024-01-02 v1
Abstract
This paper introduces Sobolev spaces over Gelfand pairs in the framework of hypergroups. The Sobolev spaces in question are constructed from the Fourier transform on hypergroup Gelfand pairs. Mainly, the paper focuses on the investigation of Sobolev embedding results.
Keywords
Cite
@article{arxiv.2401.00557,
title = {Sobolev spaces on hypergroups Gelfand pairs},
author = {Ky T. Bataka and Murphy E. Egwe and Yaogan Mensah},
journal= {arXiv preprint arXiv:2401.00557},
year = {2024}
}