On mappings generating embedding operators in Sobolev classes on metric measure spaces
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866910805524480000 |
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| author | Menovschikov, Alexander Ukhlov, Alexander |
| author_facet | Menovschikov, Alexander Ukhlov, Alexander |
| contents | In this article, we study homeomorphisms $φ: Ω\to \widetildeΩ$ that generate embedding operators in Sobolev classes on metric measure spaces $X$ by the composition rule $φ^{\ast}(f)=f\circφ$. In turn, this leads to Sobolev type embedding theorems for a wide class of bounded domains $\widetildeΩ\subset X$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_06435 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On mappings generating embedding operators in Sobolev classes on metric measure spaces Menovschikov, Alexander Ukhlov, Alexander Analysis of PDEs 46E35, 30C65, 30L15 In this article, we study homeomorphisms $φ: Ω\to \widetildeΩ$ that generate embedding operators in Sobolev classes on metric measure spaces $X$ by the composition rule $φ^{\ast}(f)=f\circφ$. In turn, this leads to Sobolev type embedding theorems for a wide class of bounded domains $\widetildeΩ\subset X$. |
| title | On mappings generating embedding operators in Sobolev classes on metric measure spaces |
| topic | Analysis of PDEs 46E35, 30C65, 30L15 |
| url | https://arxiv.org/abs/2411.06435 |