Theoretical analysis demonstrates embedding relations across fractional Bessel–Sobolev spaces, highlighting new potential theoretic characterizations for removable sets of fractional operators.
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.
No takes yet. Share an insight, caveat, or question.
Chegaar et al. (2026) studied this question.
Synapse has enriched 5 related papers. Consider them for comparative context: