On higher order Morrey's inequalities over RCD{\boldmath$(K,N)$}-spaces
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866916041619144704 |
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| author | Kitagawa, Jun Kuwae, Kazuhiro |
| author_facet | Kitagawa, Jun Kuwae, Kazuhiro |
| contents | In this paper, we establish a higher order Morrey's inequality in the framework of %non-collapsed $\mathsf{RCD}(K,N)$-spaces for $K\in\mathbb{R}$ and $N\in\mathbb{N}$. We do so by first introducing an alternate version of the second order Sobolev space $W^{2, p}(X)$, which contains amply many functions even when $p>N$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_24404 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On higher order Morrey's inequalities over RCD{\boldmath$(K,N)$}-spaces Kitagawa, Jun Kuwae, Kazuhiro Metric Geometry 46E35, 46E36, 49Q22 In this paper, we establish a higher order Morrey's inequality in the framework of %non-collapsed $\mathsf{RCD}(K,N)$-spaces for $K\in\mathbb{R}$ and $N\in\mathbb{N}$. We do so by first introducing an alternate version of the second order Sobolev space $W^{2, p}(X)$, which contains amply many functions even when $p>N$. |
| title | On higher order Morrey's inequalities over RCD{\boldmath$(K,N)$}-spaces |
| topic | Metric Geometry 46E35, 46E36, 49Q22 |
| url | https://arxiv.org/abs/2605.24404 |