The Lower Semicontinuity of Distortion Coefficients of the Homeomorphisms Inducing Bounded Composition Operators of Sobolev–Orlicz Spaces
- Авторлар: Menovshchikov A.V.1,2
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Мекемелер:
- Sobolev Institute of Mathematics Novosibirsk State University
- Peoples’ Friendship University of Russia
- Шығарылым: Том 59, № 2 (2018)
- Беттер: 332-340
- Бөлім: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/171802
- DOI: https://doi.org/10.1134/S0037446618020167
- ID: 171802
Дәйексөз келтіру
Аннотация
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.
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Авторлар туралы
A. Menovshchikov
Sobolev Institute of Mathematics Novosibirsk State University; Peoples’ Friendship University of Russia
Хат алмасуға жауапты Автор.
Email: antikoerper@mail.ru
Ресей, Novosibirsk; Moscow
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