Variable exponent Triebel-Lizorkin-Morrey spaces

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:484

Article

Gaetano, Antonio¹  Kempka, Henning² 

[1] Univ Aveiro, Dept Math, Ctr R&D Math & Applicat, P-3810193 Aveiro, Portugal

[2] Univ Appl Sci Jena, Dept Fundamental Sci, PF 100314, D-07703 Jena, Germany

关键词: Variable exponents;    Triebel-Lizorkin-Morrey spaces;    Convolution inequalities;   

DOI  :  10.1016/j.jmaa.2019.123712

来源: Elsevier

【 摘 要 】

We introduce variable exponent versions of Morreyfied Triebel-Lizorkin spaces. To that end, we prove an important convolution inequality which is a replacement for the Hardy-Littlewood maximal inequality in the fully variable setting. Using it we obtain characterizations by means of Peetre maximal functions and use them to show the independence of the introduced spaces from the admissible system used. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

Free