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Journal of Approximation Theory, 2019, Volume 248, Pages 105295–19
DOI: https://doi.org/10.1016/j.jat.2019.105295 (Mi jath6) 		 
This article is cited in 3 scientific papers (total in 3 papers)

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
Citations (3)
DOI: https://doi.org/10.1016/j.jat.2019.105295
Abstract: 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.
Funding agency Grant number
Russian Science Foundation 19-11-00087
Ministry of Education and Science of the Russian Federation
Japan Society for the Promotion of Science 16K05209
The research of Victor Burenkov, Sections 1 and 2, was supported by the Russian Science Foundation (project 19-11-00087) and was performed in the Steklov Institute of Mathematics of the Russian Academy of Sciences. His research, Section 3, was supported by the RUDN University (Program 5-100) and was performed in the Peoples’ Friendship University of Russia (RUDN University). Yoshihiro Sawano was partially supported by Japanese Society for Promotion of Science (project 16K05209).
Received: 06.02.2018
Revised: 03.07.2019
Accepted: 31.07.2019
Bibliographic databases:
Document Type: Article
MSC: 46B70, 42B35
Language: English
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