Fractional Bessel-Sobolev and Bessel B-potential spaces
Classical Analysis and ODEs
2025-09-04 v1
Abstract
After proving the equivalence of the Bessel -functional and the corresponding spherical modulus of smoothness we define fractional Bessel-Sobolev spaces. As an analog of the classical one the imbedding relation of fractional Bessel-Sobolev and Bessel B-potential spaces is pointed out. Applying the defined notions a potential theoretic characterization of removable sets with respect to certain fractional partial differential operator is derived.
Cite
@article{arxiv.2509.03287,
title = {Fractional Bessel-Sobolev and Bessel B-potential spaces},
author = {Mouna Chegaar and Á. P. Horváth},
journal= {arXiv preprint arXiv:2509.03287},
year = {2025}
}
Comments
21 pages