Functional and analytic properties of a class of mappings in quasi-conformal analysis Научная публикация
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Izvestiya Mathematics
ISSN: 1064-5632 |
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| Вых. Данные | Год: 2021, Том: 85, Номер: 5, Страницы: 883-931 Страниц : 49 DOI: 10.1070/IM9082 | ||
| Ключевые слова | Capacity; Composition operator; Modulus of a condenser; Quasi-conformal analysis; Sobolev space | ||
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Реферат:
We define a two-index scale (Formula presented) of homeomorphisms of spatial domains in ℝn, the geometric description of which is determined by the control of the behaviour of the q-capacity of condensers in the target space in terms of the weighted p-capacity of condensers in the source space. We obtain an equivalent functional and analytic description of (Formula presented) based on the properties of the composition operator (from weighted Sobolev spaces to non-weighted ones) induced by the inverses of the mappings in (Formula presented). When q = p = n, the class of mappings (Formula presented) coincides with the set of so-called Q-homeomorphisms which have been studied extensively in the last 25 years. © 2021 Russian Academy of Sciences (DoM) and London Mathematical Society
Библиографическая ссылка:
Vodopyanov S.K.
, Tomilov A.O.
Functional and analytic properties of a class of mappings in quasi-conformal analysis
Izvestiya Mathematics. 2021. V.85. N5. P.883-931. DOI: 10.1070/IM9082 WOS Scopus OpenAlex
Functional and analytic properties of a class of mappings in quasi-conformal analysis
Izvestiya Mathematics. 2021. V.85. N5. P.883-931. DOI: 10.1070/IM9082 WOS Scopus OpenAlex
Оригинальная:
Водопьянов С.К.
, Томилов А.О.
Функциональные и аналитические свойства одного класса отображений квазиконформного анализа
Известия Российской академии наук. Серия математическая. 2021. Т.85. №5. С.58-109. DOI: 10.4213/im9082 OpenAlex
Функциональные и аналитические свойства одного класса отображений квазиконформного анализа
Известия Российской академии наук. Серия математическая. 2021. Т.85. №5. С.58-109. DOI: 10.4213/im9082 OpenAlex
Идентификаторы БД:
| Web of science: | WOS:000714745800001 |
| Scopus: | 2-s2.0-85120171195 |
| OpenAlex: | W3097403566 |