Abstract: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 $p>N$.
| Comments: | 35 pages, comments welcome! |
| Subjects: | Metric Geometry (math.MG) |
| MSC classes: | 46E35, 46E36, 49Q22 |
| Cite as: | arXiv:2605.24404 [math.MG] |
| (or arXiv:2605.24404v1 [math.MG] for this version) | |
| https://doi.org/10.48550/arXiv.2605.24404 arXiv-issued DOI via DataCite (pending registration) |
From: Jun Kitagawa [view email]
[v1]
Sat, 23 May 2026 05:20:18 UTC (33 KB)
此内容由惯性聚合(RSS阅读器)自动聚合整理，仅供阅读参考。 原文来自 — 版权归原作者所有。