| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 6418393 | Journal of Mathematical Analysis and Applications | 2014 | 22 Pages |
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
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Vladimir I. Bogachev, Andrey Yu. Pilipenko, Alexander V. Shaposhnikov,