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A+ CATEGORY SCIENTIFIC UNIT

Une inégalité maximale sous-gaussienne sur les espaces de tentes

Volume 155 / 2003

E. Labeye-Voisin Studia Mathematica 155 (2003), 23-36 MSC: 42B25, 42B30, 31B25. DOI: 10.4064/sm155-1-2

Abstract

We introduce a maximal function (denoted by ) on the tent spaces T^p({\mathbb R}^{n+1}_+), 0< p<\infty , of Coifman, Meyer and Stein [8]. We prove a good-\lambda estimate of subgaussian type for this maximal function and for the square function of tent spaces, leading to integrability results for \overline \pi . We deduce convergence results for the singular integral defining \pi .

Authors

  • E. Labeye-VoisinU.M.P.A., E.N.S. de Lyon
    46 Allée d'Italie
    69364 Lyon, France
    e-mail

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