Morrey--Sobolev inequalities with power weights on the half-space
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866908606170923008 |
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| author | Van Schaftingen, Jean Winter, Leon |
| author_facet | Van Schaftingen, Jean Winter, Leon |
| contents | Morrey--Sobolev inequalities are established for functions in weighted Sobolev spaces on the $n$-dimensional half-space, where the weight is a power of the distance to the boundary, as well as for Sobolev spaces on the $n$-dimensional hyperbolic space. All the estimates are optimal up to a multiplicative constant. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_19534 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Morrey--Sobolev inequalities with power weights on the half-space Van Schaftingen, Jean Winter, Leon Functional Analysis 46E35 (Primary), 26D10, 35A23 (Secondary) Morrey--Sobolev inequalities are established for functions in weighted Sobolev spaces on the $n$-dimensional half-space, where the weight is a power of the distance to the boundary, as well as for Sobolev spaces on the $n$-dimensional hyperbolic space. All the estimates are optimal up to a multiplicative constant. |
| title | Morrey--Sobolev inequalities with power weights on the half-space |
| topic | Functional Analysis 46E35 (Primary), 26D10, 35A23 (Secondary) |
| url | https://arxiv.org/abs/2510.19534 |