Fractional operators and Sobolev spaces on homogeneous groups
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866909997048266752 |
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| author | Garofalo, Nicola Loiudice, Annunziata Vassilev, Dimiter |
| author_facet | Garofalo, Nicola Loiudice, Annunziata Vassilev, Dimiter |
| contents | We establish foundational properties of fractional operators on Lie groups of homogeneous type. We prove embedding theorems for the associated Sobolev-type spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_15143 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Fractional operators and Sobolev spaces on homogeneous groups Garofalo, Nicola Loiudice, Annunziata Vassilev, Dimiter Analysis of PDEs Functional Analysis 35R11, 22E30, 35R03 We establish foundational properties of fractional operators on Lie groups of homogeneous type. We prove embedding theorems for the associated Sobolev-type spaces. |
| title | Fractional operators and Sobolev spaces on homogeneous groups |
| topic | Analysis of PDEs Functional Analysis 35R11, 22E30, 35R03 |
| url | https://arxiv.org/abs/2601.15143 |