We introduce a maximal function (denoted by π̅ ) on the tent spaces , 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 π̅. We deduce convergence results for the singular integral defining π.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm155-1-2,
author = {E. Labeye-Voisin},
title = {Une in\'egalit\'e maximale sous-gaussienne sur les espaces de tentes},
journal = {Studia Mathematica},
volume = {157},
year = {2003},
pages = {23-36},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm155-1-2}
}
E. Labeye-Voisin. Une inégalité maximale sous-gaussienne sur les espaces de tentes. Studia Mathematica, Tome 157 (2003) pp. 23-36. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm155-1-2/