Oxford University PressBulletin of the London Mathematical SocietyS. Aumann, B. M. Brown, K. M. Schmidt, A Hardy-Littlewood-type inequality for the p-Laplacian, Bull. Lond. Math. Soc., 40 (2008), No. 3, 525-531.
Let Mg+f be the one-sided Hardy–Littlewood maximal function, φ1 be a nonnegative and nondecreasing function on [0,∞), γ be a positive and nondecreasing function defined on [0,∞); let φ2 be a quasi-convex function and u,v,w be three weight functions