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Эта публикация цитируется в 3 научных статьях (всего в 3 статьях)
On the equivalence of the $K$-functional and the modulus of continuity on the Money spaces
V. I. Burenkovab, A. Ghorbanalizadehc, Y. Sawanoad a S. M. Nikol'skii Mathematical Institute, RUDN University, 6 Miklukho-Maklay St., Moscow, 117198, Russia
b Steklov Mathematical Institute, Russian Academy of Science Gubkin St. 42, Moscow, GSP1, 117966, Russia
c Department of Mathematics, Institute for Advanced Studies in Basic Sciences (IASBS), Zanjan 45137-66731, Iran
d Department of Mathematics and Information Science, Tokyo Metropolitan University, Tokyo, Japan
Аннотация:
In this note, the Morrey spaces and the Sobolev–Morrey spaces are considered. In particular, the
$K$-functional with respect to these spaces is estimated from above and below. As an application, we
characterize the Nikol'skii–Besov–Morrey spaces via real interpolation.
Поступила в редакцию: 06.02.2018 Исправленный вариант: 03.07.2019 Принята в печать: 31.07.2019
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https://www.mathnet.ru/rus/jath6
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