Sobolev Embedding Theorems and Generalizations for Functions on a Metric Measure Space Научная публикация
| Журнал |
Siberian Mathematical Journal
ISSN: 0037-4466 , E-ISSN: 1573-9260 |
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| Вых. Данные | Год: 2018, Том: 59, Номер: 1, Страницы: 126-135 Страниц : 10 DOI: 10.1134/S0037446618010147 | ||
| Ключевые слова | embedding theorems; Gagliardo–Nirenberg inequalities; metric measure space; Sobolev classes | ||
| Авторы |
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| Организации |
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Реферат:
Considering the metric case, we define an analog of the Sobolev space of functions with generalized derivatives of order greater than 1. The space of functions with fractional generalized derivatives is also treated. We prove generalizations of the Sobolev embedding theorems and Gagliardo–Nirenberg interpolation inequalities to the metric case. © 2018, Pleiades Publishing, Ltd.
Библиографическая ссылка:
Romanovskiĭ N.N.
Sobolev Embedding Theorems and Generalizations for Functions on a Metric Measure Space
Siberian Mathematical Journal. 2018. V.59. N1. P.126-135. DOI: 10.1134/S0037446618010147 WOS Scopus OpenAlex
Sobolev Embedding Theorems and Generalizations for Functions on a Metric Measure Space
Siberian Mathematical Journal. 2018. V.59. N1. P.126-135. DOI: 10.1134/S0037446618010147 WOS Scopus OpenAlex
Идентификаторы БД:
| Web of science: | WOS:000427144300014 |
| Scopus: | 2-s2.0-85043498124 |
| OpenAlex: | W2792877438 |