Sobolev Versus Homogeneous Sobolev II
Fuente:
arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866911049129656320 |
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| author | Koskela, Pekka Mishra, Riddhi Zhu, Zheng |
| author_facet | Koskela, Pekka Mishra, Riddhi Zhu, Zheng |
| contents | We study the relationship between Sobolev extension domains and homogeneous Sobolev extension domains. Precisely, for a certain range of exponents $p$ and $q$, we construct a $(W^{1, p}, W^{1, q})$-extension domain which is not an $(L^{1, p}, L^{1, q})$-extension domain. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_07072 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Sobolev Versus Homogeneous Sobolev II Koskela, Pekka Mishra, Riddhi Zhu, Zheng Functional Analysis 46E35, 30L99 We study the relationship between Sobolev extension domains and homogeneous Sobolev extension domains. Precisely, for a certain range of exponents $p$ and $q$, we construct a $(W^{1, p}, W^{1, q})$-extension domain which is not an $(L^{1, p}, L^{1, q})$-extension domain. |
| title | Sobolev Versus Homogeneous Sobolev II |
| topic | Functional Analysis 46E35, 30L99 |
| url | https://arxiv.org/abs/2507.07072 |