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arXiv · 1401.7131

Bounded Approximation Property for Sobolev spaces on simply-connected planar domains

Maria Roginskaya·Michal Wojciechowski
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Abstract

We show that Sobolev space $W^1_1(Ω)$ of any planar one-connected domain $Ω$ has the Bounded Approximation property. The result holds independently from the properties of the boundary of $Ω$. The prove is based on a new decomposition of a planar domain.

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Maria Roginskaya, Michal Wojciechowski. 2014-01-28. Bounded Approximation Property for Sobolev spaces on simply-connected planar domains. https://arxiv.org/abs/1401.7131

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