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arXiv · 2411.06435

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

Alexander Menovschikov·Alexander Ukhlov
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Abstract

In this article, we study homeomorphisms $\varphi: \Omega \to \widetilde{\Omega}$ that generate embedding operators in Sobolev classes on metric measure spaces $X$ by the composition rule $\varphi^{\ast}(f)=f\circ\varphi$. In turn, this leads to Sobolev type embedding theorems for a wide class of bounded domains $\widetilde{\Omega}\subset X$.

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Alexander Menovschikov, Alexander Ukhlov. 2024-11-10. On mappings generating embedding operators in Sobolev classes on metric measure spaces. https://arxiv.org/abs/2411.06435

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