Composition operators on Sobolev spaces with a metric measure space as a domain. II

2025/07/15 by D. A. Sboev, Sboev, Danil A., Vodopyanov, Sergey K.
Mathematics · #2020: Primary 30L10 #30L99 #46F10 #Analytic and geometric function theory #Differential Equations and Boundary Problems #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Secondary 43A80

paper · pdf · doi:10.48550/arxiv.2507.11455

openalex publication_date 2025/07/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We obtain a description of the homeomorphisms which induce bounded composition operators on Sobolev spaces of functions on metric measure spaces.

Citations

• Reshetnyak-class mappings and composition operators

Related

• On mappings generating embedding operators in Sobolev classes on metric measure spaces
• Composition operators on Sobolev spaces, Q-mappings and weighted Sobolev inequalities
• An introduction to composition operators in Sobolev spaces
• Sobolev Homeomorphisms and Composition Operators
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