On some refinements of the embedding of critical Sobolev spaces into BMO

2017/10/12 by Almaz Butaev, Butaev, Almaz
Mathematics · #35J47 #42B37 #46E35 #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP #msc:35J47 #msc:42B37 #msc:46E35

paper · pdf · doi:10.48550/arxiv.1710.04366

arxiv created 2018/07/15 · arxiv updated 2018/07/17

Abstract

We introduce the non-homogeneous analogs of Van Schaftingen's classes. We show that these classes refine the embedding W^1,n⊂ bmo. The analogous results established on bounded Lipschitz domains and Riemannian manifolds with bounded geometry.

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