On some refinements of the embedding of critical Sobolev spaces into BMO
| Autor: | Almaz Butaev |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Pure mathematics
General Mathematics 010102 general mathematics Mathematics::Analysis of PDEs Lipschitz continuity 01 natural sciences Sobolev space Mathematics - Analysis of PDEs 46E35 42B37 35J47 Bounded function 0103 physical sciences FOS: Mathematics Embedding Mathematics::Differential Geometry 010307 mathematical physics 0101 mathematics Analysis of PDEs (math.AP) Mathematics |
| Zdroj: | Pacific Journal of Mathematics. 298:1-26 |
| ISSN: | 0030-8730 |
| DOI: | 10.2140/pjm.2019.298.1 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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