English

Sobolev $W^1_p$-spaces on closed subsets of $R^n$

Functional Analysis 2008-06-17 v1

Abstract

For each p>np>n we use local oscillations and doubling measures to give intrinsic characterizations of the restriction of the Sobolev space Wp1(Rn)W_p^1(R^n) to an arbitrary closed subset of RnR^n.

Keywords

Cite

@article{arxiv.0806.2430,
  title  = {Sobolev $W^1_p$-spaces on closed subsets of $R^n$},
  author = {Pavel Shvartsman},
  journal= {arXiv preprint arXiv:0806.2430},
  year   = {2008}
}

Comments

94 pages