A sufficient condition is given on weight functions and on for which the fractional maximal operator defined by or the fractional integral operator defined by is bounded from into for with , where is a cube and n a non-negative integer.
Cite this article
Y. Rakotondratsimba, Weighted Inequalities for the Fractional Maximal Operator and the Fractional Integral Operator. Z. Anal. Anwend. 15 (1996), no. 2, pp. 309–328DOI 10.4171/ZAA/702