Une inégalité maximale sous-gaussienne sur les espaces de tentes

E. Labeye-Voisin

Studia Mathematica (2003)

  • Volume: 155, Issue: 1, page 23-36
  • ISSN: 0039-3223

Abstract

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We introduce a maximal function (denoted by π̅ ) on the tent spaces T p ( n + 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 π̅. We deduce convergence results for the singular integral defining π.

How to cite

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E. Labeye-Voisin. "Une inégalité maximale sous-gaussienne sur les espaces de tentes." Studia Mathematica 155.1 (2003): 23-36. <http://eudml.org/doc/284589>.

@article{E2003,
abstract = {We introduce a maximal function (denoted by π̅ ) on the tent spaces $T^\{p\}(ℝ₊^\{n+1\})$, 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 π̅. We deduce convergence results for the singular integral defining π.},
author = {E. Labeye-Voisin},
journal = {Studia Mathematica},
language = {eng},
number = {1},
pages = {23-36},
title = {Une inégalité maximale sous-gaussienne sur les espaces de tentes},
url = {http://eudml.org/doc/284589},
volume = {155},
year = {2003},
}

TY - JOUR
AU - E. Labeye-Voisin
TI - Une inégalité maximale sous-gaussienne sur les espaces de tentes
JO - Studia Mathematica
PY - 2003
VL - 155
IS - 1
SP - 23
EP - 36
AB - We introduce a maximal function (denoted by π̅ ) on the tent spaces $T^{p}(ℝ₊^{n+1})$, 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 π̅. We deduce convergence results for the singular integral defining π.
LA - eng
UR - http://eudml.org/doc/284589
ER -

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