Journal of Trace Elements in Medicine and Biology. Vol. 56. 2019. P.. 124-130
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
Language
English
State
Published
Link
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
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