Title of article
Sobolev functions on infinite-dimensional domains
Author/Authors
Bogachev، نويسنده , , Vladimir I. and Pilipenko، نويسنده , , Andrey Yu. and Shaposhnikov، نويسنده , , Alexander V.، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2014
Pages
22
From page
1023
To page
1044
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
EXTENSION , Differentiable measure , Gaussian measure , Sobolev class
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2014
Journal title
Journal of Mathematical Analysis and Applications
Record number
1564749
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