Affine fractional $L^p$ Sobolev inequalities
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2022
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| _version_ | 1866914742580281344 |
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| author | Haddad, Julián Ludwig, Monika |
| author_facet | Haddad, Julián Ludwig, Monika |
| contents | Sharp affine fractional $L^p$ Sobolev inequalities for functions on $\mathbb R^n$ are established. The new inequalities are stronger than (and directly imply) the sharp fractional $L^p$ Sobolev inequalities. They are fractional versions of the affine $L^p$ Sobolev inequalities of Lutwak, Yang, and Zhang. In addition, affine fractional asymmetric $L^p$ Sobolev inequalities are established. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2209_10540 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Affine fractional $L^p$ Sobolev inequalities Haddad, Julián Ludwig, Monika Metric Geometry Functional Analysis 46E35, (35R11, 52A40) Sharp affine fractional $L^p$ Sobolev inequalities for functions on $\mathbb R^n$ are established. The new inequalities are stronger than (and directly imply) the sharp fractional $L^p$ Sobolev inequalities. They are fractional versions of the affine $L^p$ Sobolev inequalities of Lutwak, Yang, and Zhang. In addition, affine fractional asymmetric $L^p$ Sobolev inequalities are established. |
| title | Affine fractional $L^p$ Sobolev inequalities |
| topic | Metric Geometry Functional Analysis 46E35, (35R11, 52A40) |
| url | https://arxiv.org/abs/2209.10540 |