A density result on Orlicz-Sobolev spaces in the plane

Published 14 Jul 2018 in math.FA and math.CA | (1807.05349v1)

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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