Maximal function and carleson measures in the theory of Békollé–Bonami weights

Abstract

Let ω be a Békollé–Bonami weight. We give a complete characterization of the positive measures µ such that (Equation presented) where Mω is the weighted Hardy–Littlewood maximal function on the upper half-plane H and 1 ≤ p, q < ∞. © Instytut Matematyczny PAN, 2016.