Email this article Some properties of quasisymmetries in metric spaces
- Authors: Afanas’eva E.S.1, Bilet V.V.1
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Affiliations:
- Institute of Applied Mathematics and Mechanics of the NAS of Ukraine
- Issue: Vol 242, No 6 (2019)
- Pages: 754-759
- Section: Article
- URL: https://journal-vniispk.ru/1072-3374/article/view/243036
- DOI: https://doi.org/10.1007/s10958-019-04513-5
- ID: 243036
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Abstract
Let (X, d, μ) and (Y, d′, μ′) be metric spaces α-regular by Ahlfors with α > 0 and locally finite Borel measures μ and μ′, respectively. We consider the class ACSE of absolutely continuous functions on a.a. compact subsets E ⊂ X and establish the membership of mappings f: X → Y to a given class.
About the authors
Elena S. Afanas’eva
Institute of Applied Mathematics and Mechanics of the NAS of Ukraine
Author for correspondence.
Email: es.afanasjeva@gmail.com
Ukraine, Slavyansk
Viktoriya V. Bilet
Institute of Applied Mathematics and Mechanics of the NAS of Ukraine
Email: es.afanasjeva@gmail.com
Ukraine, Slavyansk
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