The Lower Semicontinuity of Distortion Coefficients of the Homeomorphisms Inducing Bounded Composition Operators of Sobolev–Orlicz Spaces
- 作者: Menovshchikov A.V.1,2
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隶属关系:
- Sobolev Institute of Mathematics Novosibirsk State University
- Peoples’ Friendship University of Russia
- 期: 卷 59, 编号 2 (2018)
- 页面: 332-340
- 栏目: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/171802
- DOI: https://doi.org/10.1134/S0037446618020167
- ID: 171802
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详细
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.
作者简介
A. Menovshchikov
Sobolev Institute of Mathematics Novosibirsk State University; Peoples’ Friendship University of Russia
编辑信件的主要联系方式.
Email: antikoerper@mail.ru
俄罗斯联邦, Novosibirsk; Moscow
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