On mappings generating embedding operators in Sobolev classes on metric measure spaces

2024/11/10 by Menovschikov, Alexander, Ukhlov, Alexander
#30C65 #30L15 #46E35 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2411.06435

Abstract

In this article, we study homeomorphisms φ: Ω→ \widetildeΩ that generate embedding operators in Sobolev classes on metric measure spaces X by the composition rule φ^∗(f)=f∘φ. In turn, this leads to Sobolev type embedding theorems for a wide class of bounded domains \widetildeΩ⊂ X.

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