Consider the usual fractional maximal operator with . A characterization of weight functions and for which sends the (generalized) Lorentz space into with is obtained by using a suitable-atomic decomposition of tent spaces.
Cite this article
Y. Rakotondratsimba, Weighted Inequalities for the Fractional Maximal Operator in Lorentz Spaces via Atomic Decomposition of Tent Spaces. Z. Anal. Anwend. 16 (1997), no. 2, pp. 263–280DOI 10.4171/ZAA/763