Decomposition of Hardy–Morrey spaces

By Houyu Jia, Henggeng Wang. 2009

74 citations recorded by the source corpus.

Abstract In this paper, we establish the decompositions of Hardy–Morrey spaces in terms of atoms concentrated on dyadic cubes, which have the same cancellation properties of the classical Hardy spaces.

Subfields: Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/aa97a211d447b90c99e97f965c611bc5af0a8476

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In Applied Mathematics

1. Dachun Yang
2. Wen Yuan
3. Yoshihiro Sawano
4. Yangyang Zhang
5. Songbai Wang
6. Shohei Nakamura
7. Takahiro Noi
8. Kwok-Pun Ho

In Mathematical Physics

1. Dachun Yang
2. Wen Yuan
3. Yangyang Zhang
4. Yoshihiro Sawano
5. Songbai Wang
6. Shohei Nakamura
7. Takahiro Noi
8. Kwok-Pun Ho

Citations in the corpus

• A new framework for generalized Besov-type and Triebel-Lizorkin-type spaces (2012, unknown): “Indeed, in [43, 74, 80], Besov-Morrey spaces and its applications are investigated; Triebel-Lizorkin-Morrey spaces are dealt in [74, 75, 80]; Hardy-Morrey spaces are defined and considered in [32, 33, 75, 83] and Hardy-Morrey spaces are applied to PDE in [33].”
• Generalized Morrey spaces and trace operator (2016, methodology): “In [54], it was shown that this function space E0 pq2(R) is equivalent to the Hardy-Morrey space defined by Jia and Wang in [22].”
• Weak Hardy-Type Spaces Associated with Ball Quasi-Banach Function Spaces II: Littlewood–Paley Characterizations and Real Interpolation (2019, background): “In recent decades, there exists an increasing interest in applications of Morrey spaces to various areas of analysis, such as partial differential equations, potential theory and harmonic analysis (see, for instance, [3, 4, 19, 46, 79]).”
• ATOMIC DECOMPOSITION OF HARDY-MORREY SPACES WITH VARIABLE EXPONENTS (2015, methodology): “3, in this paper extend the atomic decomposition for Hardy– Morrey spaces in [34].”