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

JOURNAL OF APPROXIMATION THEORY

卷:248

Article

Burenkov, Victor^1,2  Ghorbanalizadeh, Arash³  Sawano, Yoshihiro^1,4 

[1] RUDN Univ, SM Nikolskii Math Inst, 6 Miklukho Maklay St, Moscow 117198, Russia

[2] Russian Acad Sci, Steklov Math Inst, Gubkin St 42,GSP1, Moscow 117966, Russia

[3] IASBS, Dept Math, Zanjan 4513766731, Iran

[4] Tokyo Metropolitan Univ, Dept Math & Informat Sci, Tokyo, Japan

关键词: Morrey spaces;    Modulus of continuity;    Peetre's K-functional;    Sobolev-Morrey spaces;    Nikol'skii-Besov-Morrey spaces;   

DOI  :  10.1016/j.jat.2019.105295

来源: Elsevier

【 摘 要 】

In this note, the Money 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. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

Free