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Zeitschrift für Analysis und ihre Anwendungen


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Volume 33, Issue 2, 2014, pp. 149–170
DOI: 10.4171/ZAA/1504

Published online: 2014-04-25

Atomic Decomposition for Morrey Spaces

Takeshi Iida[1], Yoshihiro Sawano[2] and Hitoshi Tanaka[3]

(1) Fukushima National College of Technology, Japan
(2) Tokyo Metropolitan University, Japan
(3) University of Tokyo, Japan

The Hardy space $H^p ({\mathbb R}^n)$ substitutes for the Lebesgue space $L^p ({\mathbb R}^n)$. When $p>1$, then the Hardy space $H^p ({\mathbb R}^n)$ coincides with the Lebesgue spaces $L^p ({\mathbb R}^n)$. This is shown by using the reflexivity of the function spaces. The atomic decomposition is readily available for $H^p ({\mathbb R}^n)$ with $0

Keywords: Morrey spaces, fractional integral operators, atoms

Iida Takeshi, Sawano Yoshihiro, Tanaka Hitoshi: Atomic Decomposition for Morrey Spaces. Z. Anal. Anwend. 33 (2014), 149-170. doi: 10.4171/ZAA/1504