Density problem for Sobolev spaces on Gehring Hayman domains with the ball separation condition in metric measure spaces
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866912728943165440 |
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| author | Koivu, Jesse |
| author_facet | Koivu, Jesse |
| contents | We prove that for a domain $Ω$ in a PI space $X$ such that $Ω$ satisfies the Gehring Hayman condition and the ball separation condition, the Newtonian Sobolev space $N^{1,\infty}(Ω)$ is dense in the space $N^{1,p}(Ω)$ for $1 < p < \infty$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_20384 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Density problem for Sobolev spaces on Gehring Hayman domains with the ball separation condition in metric measure spaces Koivu, Jesse Metric Geometry 30L99 (Primary) 46E35 (Secondary) We prove that for a domain $Ω$ in a PI space $X$ such that $Ω$ satisfies the Gehring Hayman condition and the ball separation condition, the Newtonian Sobolev space $N^{1,\infty}(Ω)$ is dense in the space $N^{1,p}(Ω)$ for $1 < p < \infty$. |
| title | Density problem for Sobolev spaces on Gehring Hayman domains with the ball separation condition in metric measure spaces |
| topic | Metric Geometry 30L99 (Primary) 46E35 (Secondary) |
| url | https://arxiv.org/abs/2511.20384 |