Fractional Bessel-Sobolev and Bessel B-potential spaces
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866915477827092480 |
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| author | Chegaar, Mouna Horváth, Á. P. |
| author_facet | Chegaar, Mouna Horváth, Á. P. |
| contents | 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 certain fractional partial differential operator is derived. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_03287 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Fractional Bessel-Sobolev and Bessel B-potential spaces Chegaar, Mouna Horváth, Á. P. Classical Analysis and ODEs 46E35, 31C15, 35R11 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 certain fractional partial differential operator is derived. |
| title | Fractional Bessel-Sobolev and Bessel B-potential spaces |
| topic | Classical Analysis and ODEs 46E35, 31C15, 35R11 |
| url | https://arxiv.org/abs/2509.03287 |