Sobolev functions on infinite-dimensional domains
Functional Analysis
2013-09-24 v1 Probability
Abstract
We study extensions of Sobolev and BV functions on infinite-dimensional domains. Along with some positive results we present a negative solution of the long-standing problem of existence of Sobolev extensions of functions in Gaussian Sobolev spaces from a convex domain to the whole space.
Keywords
Cite
@article{arxiv.1309.5475,
title = {Sobolev functions on infinite-dimensional domains},
author = {Vladimir I. Bogachev and Andrey Yu. Pilipenko and Alexander V. Shaposhnikov},
journal= {arXiv preprint arXiv:1309.5475},
year = {2013}
}
Comments
28 pages