On extensions of Sobolev functions defined on regular subsets of metric measure spaces
Functional Analysis
2007-05-23 v1
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.
Keywords
Cite
@article{arxiv.math/0601679,
title = {On extensions of Sobolev functions defined on regular subsets of metric measure spaces},
author = {Pavel Shvartsman},
journal= {arXiv preprint arXiv:math/0601679},
year = {2007}
}