Abstract
We obtain the Fefferman-Stein vector-valued maximal inequalities on Morrey spaces generated by weighted Lebesgue spaces. Using these inequalities, we introduce and define the weighted Hardy-Morrey spaces by using the Littlewood-Paley functions. We also establish the non-smooth atomic decompositions for the weighted Hardy-Morrey spaces and, as an application of the decompositions, we obtain the boundedness of a class of singular integral operators on the weighted Hardy-Morrey spaces.
Citation
Kwok-Pun HO. "Atomic decompositions of weighted Hardy-Morrey spaces." Hokkaido Math. J. 42 (1) 131 - 157, February 2013. https://doi.org/10.14492/hokmj/1362406643
Information