Year: 2026
Type: article
Abstract: After proving the equivalence of the Bessel $K$-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 a certain fractional partial differential operator is derived.
Authors: Mouna CHEGAAR, Ágota P. HORVÁTH
Institution: Budapest University of Technology and Economics
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4417413516
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