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arxiv: 1807.05349 · v1 · pith:Y3L4AVRDnew · submitted 2018-07-14 · 🧮 math.FA · math.CA

A density result on Orlicz-Sobolev spaces in the plane

classification 🧮 math.FA math.CA
keywords omegadensityfunctionsinftyorlicz-sobolevspacesboundedconnected
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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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