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arXiv · 2511.20384

Density problem for Sobolev spaces on Gehring Hayman domains with the ball separation condition in metric measure spaces

Jesse Koivu
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Abstract

We prove that for a domain $\Omega$ in a PI space $X$ such that $\Omega$ satisfies the Gehring Hayman condition and the ball separation condition, the Newtonian Sobolev space $N^{1,\infty}(\Omega)$ is dense in the space $N^{1,p}(\Omega)$ for $1 < p < \infty$.

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Jesse Koivu. 2025-11-25. Density problem for Sobolev spaces on Gehring Hayman domains with the ball separation condition in metric measure spaces. https://arxiv.org/abs/2511.20384

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