The Lower Semicontinuity of Distortion Coefficients of the Homeomorphisms Inducing Bounded Composition Operators of Sobolev–Orlicz Spaces

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. © 2018, Pleiades Publishing, Ltd.

Авторы
Menovshchikov A.V. 1, 2
Журнал
Siberian Mathematical Journal
Номер выпуска
2
Язык
Английский
Страницы
332-340
Статус
Опубликовано
Ссылка
Внешняя ссылка
DOI
10.1134/S0037446618020167
Том
59
Год
2018
Организации
  • 1 Sobolev Institute of Mathematics Novosibirsk State University, Novosibirsk, Russian Federation
  • 2 Peoples’ Friendship University of Russia, Moscow, Russian Federation
Ключевые слова
biting convergence; codistortion; composition operator; distortion; N-function; Sobolev–Orlicz space
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