Weighted norm inequalities on spaces of homogeneous type
Volume 101 / 1992
Studia Mathematica 101 (1992), 241-251
DOI: 10.4064/sm-101-3-241-251
Abstract
We give a characterization of the weights (u,w) for which the Hardy-Littlewood maximal operator is bounded from the Orlicz space L_Φ(u) to L_Φ(w). We give a characterization of the weight functions w (respectively u) for which there exists a nontrivial u (respectively w > 0 almost everywhere) such that the Hardy-Littlewood maximal operator is bounded from the Orlicz space L_Φ(u) to L_Φ(w).
