Atomic decompositions of weighted Hardy-Morrey spaces
\textit{H. Jia} and \textit{H. Wang} [J. Math. Anal. Appl. 354, No. 1, 99--110 (2009; Zbl 1176.46032)] introduced Hardy-Morrey spaces and obtained their atomic decomposition. \textit{Y. Komori} and \textit{S. Shirai} [Math. Nachr. 282, No. 2, 219--231 (2009; Zbl 1160.42008)] introduced weighted Morrey spaces. The author considers weighted Hardy-Morrey spaces and proves their atomic decomposition. For the proof the author proves the Fefferman-Stein vector-valued maximal inequalities on Morrey spaces generated by weighted Lebesgue spaces.
scientific article; zbMATH DE number 6152444