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A density result for homogeneous Sobolev spaces

Published 23 Mar 2018 in math.FA and math.CA | (1803.08715v1)

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

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