2013/09/21 by Vladimir I. Bogachev, В. И. Богачев, Andrey Pilipenko +6
Computer Science · Mathematics · #28C20 #46G12 #60H07 #Advanced Mathematical Modeling in Engineering #FOS: Mathematics #Functional Analysis (math.FA) #Nonlinear Partial Differential Equations #Numerical methods in inverse problems #Probability (math.PR) #math.FA #math.PR #msc:28C20 #msc:46G12 #msc:60H07
paper · pdf · doi:10.48550/arxiv.1309.5475
28 pages
arxiv created 2013/09/21 · openalex publication_date 2013/09/21 · arxiv updated 2013/09/24 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28
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.