Une inégalité maximale sous-gaussienne sur les espaces de tentes
We introduce a maximal function (denoted by π) on the tent spaces T p(Rn+1 + ), 0 < p < ∞, of Coifman, Meyer and Stein [8]. We prove a good-λ estimate of subgaussian type for this maximal function and for the square function of tent spaces, leading to integrability results for π. We deduce convergence results for the singular integral defining π.