Atomic Decomposition for Mixed Morrey Spaces

Atomic Decomposition for Mixed Morrey Spaces

In this paper, we consider some norm estimates for mixed Morrey spaces considered by the first author. Mixed Lebesgue spaces are realized as a special case of mixed Morrey spaces. What is new in this paper is a new norm estimate for mixed Morrey spaces that is applicable to mixed Lebesgue spaces as...

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Veröffentlicht in:The Journal of Geometric Analysis 2021-09, Vol.31 (9), p.9338-9365
Hauptverfasser: Nogayama, Toru, Ono, Takahiro, Salim, Daniel, Sawano, Yoshihiro
Format: Artikel
Sprache:eng
Schlagworte:
Abstract Harmonic Analysis
Convex and Discrete Geometry
Differential Geometry
Dynamical Systems and Ergodic Theory
Fourier Analysis
Geometry
Global Analysis and Analysis on Manifolds
Mathematics
Mathematics and Statistics
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Zusammenfassung:In this paper, we consider some norm estimates for mixed Morrey spaces considered by the first author. Mixed Lebesgue spaces are realized as a special case of mixed Morrey spaces. What is new in this paper is a new norm estimate for mixed Morrey spaces that is applicable to mixed Lebesgue spaces as well. An example shows that the condition on parameters is optimal. As an application, the Olsen inequality adapted to mixed Morrey spaces can be obtained.
ISSN:1050-6926
1559-002X
DOI:10.1007/s12220-020-00513-z