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Eurasian Mathematical Journal, 2010, том 1, номер 4, страницы 32–77
(Mi emj35)
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On interpolation of pairs of generalized spaces of Besov type
A. G. Baghdasaryan Faculty of Informatics and Applied Mathematics,Yerevan State University, Yerevan, Armenia
Аннотация:
We investigate generalized spaces of Besov type defined with the help of certain positive infinitely differentiable functions of polynomial growth and describe the $K$-functionals for pairs of $H$-spaces and for the pairs of $B$-spaces. We prove interpolation theorems for spaces with different anisotropy. Spaces of functions of mixed smoothness are characterized as “B-products” and interpolation theorems for these spaces are proved. Moreover, we establish embedding and trace theorems.
Ключевые слова и фразы:
spaces of Besov type, spaces of Sobolev–Liouville type, spaces of functions of mixed smoothness, interpolation, $K$-functional, “B-product”, embeddings, traces.
Поступила в редакцию: 17.09.2010
Образец цитирования:
A. G. Baghdasaryan, “On interpolation of pairs of generalized spaces of Besov type”, Eurasian Math. J., 1:4 (2010), 32–77
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/emj35 https://www.mathnet.ru/rus/emj/v1/i4/p32
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Страница аннотации: | 218 | PDF полного текста: | 86 | Список литературы: | 32 |
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