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

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. © 2019 Elsevier Inc.

Authors
Burenkov V. 1, 2 , Ghorbanalizadeh A.3 , Sawano Y. 1, 4
Journal
Journal of Approximation Theory
Language
English
Status
Published
Link
External link
DOI
10.1016/j.jat.2019.105295
Number
105295
Volume
248
Year
2019
Organizations
  • 1 S. M. Nikol'skii Mathematical Institute, RUDN University, 6 Miklukho-Maklay St., Moscow, 117198, Russian Federation
  • 2 Steklov Mathematical Institute, Russian Academy of Science Gubkin St. 42, Moscow, GSP1117966, Russian Federation
  • 3 Department of Mathematics, Institute for Advanced Studies in Basic Sciences (IASBS), Zanjan, 45137-66731, Iran
  • 4 Department of Mathematics and Information Science, Tokyo Metropolitan University, Tokyo, Japan
Keywords
Modulus of continuity; Morrey spaces; Nikol'skii–Besov–Morrey spaces; Peetre's K-functional; Sobolev–Morrey spaces
Date of creation
24.12.2019
Date of change
30.06.2022
Short link
https://repository.rudn.ru/en/records/article/record/54828/
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