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arXiv · 1710.04366

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

Almaz Butaev
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Abstract

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

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Almaz Butaev. 2017-10-12. On some refinements of the embedding of critical Sobolev spaces into BMO. https://arxiv.org/abs/1710.04366

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