Around the Sobolev Inequalities for the Stable Heat Semigroups
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912594750603264 |
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| author | Arras, Benjamin Houdré, Christian |
| author_facet | Arras, Benjamin Houdré, Christian |
| contents | We develop a general distributional theory of fractional (an)isotropic Sobolev spaces associated with the non-degenerate symmetric $α$-stable, $α\in (1,2)$, probability measures on $\mathbb{R}^d$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_22788 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Around the Sobolev Inequalities for the Stable Heat Semigroups Arras, Benjamin Houdré, Christian Functional Analysis Analysis of PDEs Probability 26D10, 26A33, 46E35, 47D06, 60J35, 60E07 We develop a general distributional theory of fractional (an)isotropic Sobolev spaces associated with the non-degenerate symmetric $α$-stable, $α\in (1,2)$, probability measures on $\mathbb{R}^d$. |
| title | Around the Sobolev Inequalities for the Stable Heat Semigroups |
| topic | Functional Analysis Analysis of PDEs Probability 26D10, 26A33, 46E35, 47D06, 60J35, 60E07 |
| url | https://arxiv.org/abs/2507.22788 |