Finite mean oscillation in upper regular metric spaces
- Authors: Afanas’eva E.1, Golberg A.2, Salimov R.3
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Affiliations:
- Institute of Applied Mathematics and Mechanics
- Department of Applied Mathematics
- Institute of Mathematics
- Issue: Vol 38, No 2 (2017)
- Pages: 206-212
- Section: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/198900
- DOI: https://doi.org/10.1134/S1995080217020081
- ID: 198900
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Abstract
There are established some sufficient conditions for boundary homeomorphic extension in metric spaces in which the measure of a ball of radius ε is controlled from above by a wide class of functions depending on ε. We consider a class of mappings whose ring moduli are integrally majorated. These results involve a finite mean oscillation and asymptotic estimation of majorants.
Keywords
About the authors
E. Afanas’eva
Institute of Applied Mathematics and Mechanics
Author for correspondence.
Email: es.afanasjeva@yandex.ru
Ukraine, ul. Dobrovol’skogo 1, Slavyansk, 84100
A. Golberg
Department of Applied Mathematics
Email: es.afanasjeva@yandex.ru
Israel, 52 Golomb St., Holon, 5810201
R. Salimov
Institute of Mathematics
Email: es.afanasjeva@yandex.ru
Ukraine, ul. Tereschenkivska 3, Kiev-4, 01601