Bounded Approximation Property for Sobolev spaces on simply-connected planar domains
Functional Analysis
2014-01-29 v1 Metric Geometry
Abstract
We show that Sobolev space of any planar one-connected domain has the Bounded Approximation property. The result holds independently from the properties of the boundary of . The prove is based on a new decomposition of a planar domain.
Cite
@article{arxiv.1401.7131,
title = {Bounded Approximation Property for Sobolev spaces on simply-connected planar domains},
author = {Maria Roginskaya and Michal Wojciechowski},
journal= {arXiv preprint arXiv:1401.7131},
year = {2014}
}