On extensions of Sobolev functions defined on regular subsets of metric measure spaces

2006/01/27 by Shvartsman, Pavel · 2 citations
#46E35 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.math/0601679

Abstract

We characterize the restrictions of first order Sobolev functions to regular subsets of a homogeneous metric space and prove the existence of the corresponding linear extension operator.

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