A sharp higher order Sobolev embedding
Fuente:
arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866912120496455680 |
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| author | Hindov, Raul Nitzan, Shahaf Olsen, Jan-Fredrik Rydhe, Eskil |
| author_facet | Hindov, Raul Nitzan, Shahaf Olsen, Jan-Fredrik Rydhe, Eskil |
| contents | We obtain sharp embeddings from the Sobolev space $W^{k,2}_0(-1,1)$ into the space $L^1(-1,1)$ and determine the extremal functions. This improves on a previous estimate of the sharp constants of these embeddings due to Kalyabin. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_10201 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A sharp higher order Sobolev embedding Hindov, Raul Nitzan, Shahaf Olsen, Jan-Fredrik Rydhe, Eskil Functional Analysis We obtain sharp embeddings from the Sobolev space $W^{k,2}_0(-1,1)$ into the space $L^1(-1,1)$ and determine the extremal functions. This improves on a previous estimate of the sharp constants of these embeddings due to Kalyabin. |
| title | A sharp higher order Sobolev embedding |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2411.10201 |