Traces of Sobolev functions and higher integrability
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2026
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866914313872080896 |
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| author | Denk, Robert Gmeineder, Franz Stephan, Paul |
| author_facet | Denk, Robert Gmeineder, Franz Stephan, Paul |
| contents | We give a sharp characterization of how additional integrability in the interior improves the integrability of boundary traces of $\mathrm{W}^{1,p}$-Sobolev functions. The optimality of our results relies on a novel nonlinear extension or lifting operator. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_07450 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Traces of Sobolev functions and higher integrability Denk, Robert Gmeineder, Franz Stephan, Paul Functional Analysis We give a sharp characterization of how additional integrability in the interior improves the integrability of boundary traces of $\mathrm{W}^{1,p}$-Sobolev functions. The optimality of our results relies on a novel nonlinear extension or lifting operator. |
| title | Traces of Sobolev functions and higher integrability |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2602.07450 |