V. I. Burenkov, A. Ghorbanalizadeh, Y. Sawano, “On the equivalence of the $K$-functional and the modulus of continuity on the Money spaces”, J. Approx. Theory, 2019, том 248,страницы 105295

Эта публикация цитируется в 3 статьях

On the equivalence of the $K$-functional and the modulus of continuity on the Money spaces

V. I. Burenkov^ab, A. Ghorbanalizadeh^c, Y. Sawano^ad

^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.

MSC: 46B70, 42B35

Поступила в редакцию: 06.02.2018
Исправленный вариант: 03.07.2019
Принята в печать: 31.07.2019

Язык публикации: английский

DOI: 10.1016/j.jat.2019.105295