On the isomorphism of Sobolev-type classes on metric spaces

DOI10.1134/S0037446621040133zbMath1481.46031OpenAlexW3217785725MaRDI QIDQ820472

N. E. Zubov

Publication date: 27 September 2021

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0037446621040133

zbMATH Keywords

metric spacesisomorphismSobolev-type functions

Mathematics Subject Classification ID

Geometric embeddings of metric spaces (30L05) Sobolev (and similar kinds of) spaces of functions on metric spaces; analysis on metric spaces (46E36)

Related Items (1)

Metric space mappings connected with Sobolev-type function classes

Cites Work

• Unnamed Item
• On the traces of Sobolev functions on the boundary of an anisotropic cusp
• Criteria for the removability of sets in spaces of \(L^1_p\) quasiconformal and quasi-isometric mappings
• Hölder quasicontinuity of Sobolev functions on metric spaces
• On the equivalence of domains in the theory of Sobolev spaces with variable exponents
• Sobolev spaces on an arbitrary metric space
• Extremal length and p-capacity
• ON GEOMETRIC PROPERTIES OF FUNCTIONS WITH GENERALIZED FIRST DERIVATIVES
• Sobolev Spaces

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