Affiliation:
1. School of Mathematics and Statistics, Henan University of Science and Technology, Luoyang 471000, China
Abstract
In this study, some new necessary and sufficient conditions for a two-weight, weak-type maximal inequality of the form φ1(λ)∫{x∈X:Mf(x)>λ}ϱ(x)dμ(x)≤c∫Xφ2c|f(x)|σ(x)dμ(x) are obtained in Orlicz classes, where Mf is a Hardy–Littlewood maximal function defined on homogeneous spaces and ϱ is a weight function.
Funder
National Natural Science Foundation of China