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

Alexander Menovschikov; Alexander Ukhlov

doi:10.1016/j.jmaa.2025.129716

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

Alexander Menovschikov, Alexander Ukhlov

Department of Mathematics

Ben-Gurion University of the Negev

Research output: Contribution to journal › Article › peer-review

Abstract

In this article, we study homeomorphisms φ:Ω→Ω˜ 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 domains Ω˜⊂X.

Original language	American English
Article number	129716
Journal	Journal of Mathematical Analysis and Applications
Volume	551
Issue number	2P2
DOIs	https://doi.org/10.1016/j.jmaa.2025.129716
State	Published - 15 Nov 2025

Keywords

Composition operators
Metric measure spaces
Sobolev spaces

All Science Journal Classification (ASJC) codes

Analysis
Applied Mathematics

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10.1016/j.jmaa.2025.129716

Cite this

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title = "On mappings generating embedding operators in Sobolev classes on metric measure spaces",

abstract = "In this article, we study homeomorphisms φ:Ω→Ω˜ 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 domains Ω˜⊂X.",

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AB - In this article, we study homeomorphisms φ:Ω→Ω˜ 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 domains Ω˜⊂X.

KW - Composition operators

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KW - Sobolev spaces

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M3 - Article

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

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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