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arXiv · 1803.08715

A density result for homogeneous Sobolev spaces

Debanjan Nandi
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Abstract

We show that in a bounded Gromov hyperbolic domain $Ω$ smooth functions with bounded derivatives $C^\infty(Ω)\cap W^{k,\infty}(Ω)$ are dense in the homogeneous Sobolev spaces $L^{k,p}(Ω)$.

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Debanjan Nandi. 2018-03-23. A density result for homogeneous Sobolev spaces. https://arxiv.org/abs/1803.08715

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