Fractional Bessel–Sobolev and Bessel B-potential spaces
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.
Fields of Study & Subjects
Differential Equations and Boundary Problems
Advanced Harmonic Analysis Research
Analytic and geometric function theory
Publication details
- Journal / source
- Journal of the Mathematical Society of Japan
- Volume
- -1
- Issue
- -1
- Pages
- 1–27
- Publication date
- 9 September 2026
- Language
- EN