Аннотация
Given a homeomorphism ϕ ∈ WM 1, we determine the conditions that guarantee the belonging of the inverse of ϕ in some Sobolev–Orlicz space WF 1. We also obtain necessary and sufficient conditions under which a homeomorphism of domains in a Euclidean space induces the bounded composition operator of Sobolev–Orlicz spaces defined by a special class of N-functions. Using these results, we establish requirements on a mapping under which the inverse homeomorphism also induces the bounded composition operator of another pair of Sobolev–Orlicz spaces which is defined by the first pair.
Язык оригинала | английский |
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Страницы (с-по) | 649-662 |
Число страниц | 14 |
Журнал | Siberian Mathematical Journal |
Том | 58 |
Номер выпуска | 4 |
DOI | |
Состояние | Опубликовано - 1 июл 2017 |