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arXiv · 1807.05349

A density result on Orlicz-Sobolev spaces in the plane

Walter A. Ortiz·Tapio Rajala
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Abstract

We show the density of smooth Sobolev functions $W^{k,\infty}(\Omega)\cap C^\infty(\Omega)$ in the Orlicz-Sobolev spaces $L^{k,\Psi}(\Omega)$ for bounded simply connected planar domains $\Omega$ and doubling Young functions $\Psi$.

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Walter A. Ortiz, Tapio Rajala. 2018-07-14. A density result on Orlicz-Sobolev spaces in the plane. https://arxiv.org/abs/1807.05349

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