Sobolev extension in a simple case
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866913280893648896 |
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| author | Drake, Marjorie Fefferman, Charles Ren, Kevin Skorobogatova, Anna |
| author_facet | Drake, Marjorie Fefferman, Charles Ren, Kevin Skorobogatova, Anna |
| contents | In this paper, we establish the existence of a bounded, linear extension operator $T: L^{2,p}(E) \to L^{2,p}(\mathbb{R}^2)$ when $1<p<2$ and $E$ is a finite subset of $\mathbb{R}^2$ contained in a line. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_11731 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Sobolev extension in a simple case Drake, Marjorie Fefferman, Charles Ren, Kevin Skorobogatova, Anna Classical Analysis and ODEs Functional Analysis 46E35 In this paper, we establish the existence of a bounded, linear extension operator $T: L^{2,p}(E) \to L^{2,p}(\mathbb{R}^2)$ when $1<p<2$ and $E$ is a finite subset of $\mathbb{R}^2$ contained in a line. |
| title | Sobolev extension in a simple case |
| topic | Classical Analysis and ODEs Functional Analysis 46E35 |
| url | https://arxiv.org/abs/2402.11731 |