Email this article The Lower Semicontinuity of Distortion Coefficients of the Homeomorphisms Inducing Bounded Composition Operators of Sobolev–Orlicz Spaces
- Authors: Menovshchikov A.V.1,2
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Affiliations:
- Sobolev Institute of Mathematics Novosibirsk State University
- Peoples’ Friendship University of Russia
- Issue: Vol 59, No 2 (2018)
- Pages: 332-340
- Section: Article
- URL: https://journal-vniispk.ru/0037-4466/article/view/171802
- DOI: https://doi.org/10.1134/S0037446618020167
- ID: 171802
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Abstract
We determine the conditions under which the locally uniform limit of mappings generating bounded composition operators of Sobolev–Orlicz spaces also generates an operator of this kind. We estimate the distortion coefficient of the limit mapping.
About the authors
A. V. Menovshchikov
Sobolev Institute of Mathematics Novosibirsk State University; Peoples’ Friendship University of Russia
Author for correspondence.
Email: antikoerper@mail.ru
Russian Federation, Novosibirsk; Moscow
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