[Intégrales fractionnaires et -poids : une estimation optimale]
On considère une inégalité à poids , pour des potentiels de Riesz dans . La constante de l'inégalité dépend de la constante du poids. On donne la forme exacte de la dépendance, en particulier on précise l'exposant optimal de la constante du poids.
We are concerned with an inequality, with an weight, for Riesz potentials in . The constant in the relevant inequality is known to depend on the constant of the weight. We find the exact form of this dependence. In particular, we exhibit the optimal exponent for the constant of the weight.
Publié le :
@article{CRMATH_2009__347_21-22_1265_0,
author = {Alberico, Teresa and Cianchi, Andrea and Sbordone, Carlo},
title = {Fractional integrals and $ {A}_{p}$-weights: {A} sharp estimate},
journal = {Comptes Rendus. Math\'ematique},
pages = {1265--1270},
publisher = {Elsevier},
volume = {347},
number = {21-22},
year = {2009},
doi = {10.1016/j.crma.2009.09.001},
language = {en},
url = {http://www.numdam.org/articles/10.1016/j.crma.2009.09.001/}
}
TY - JOUR
AU - Alberico, Teresa
AU - Cianchi, Andrea
AU - Sbordone, Carlo
TI - Fractional integrals and $ {A}_{p}$-weights: A sharp estimate
JO - Comptes Rendus. Mathématique
PY - 2009
SP - 1265
EP - 1270
VL - 347
IS - 21-22
PB - Elsevier
UR - http://www.numdam.org/articles/10.1016/j.crma.2009.09.001/
DO - 10.1016/j.crma.2009.09.001
LA - en
ID - CRMATH_2009__347_21-22_1265_0
ER -
%0 Journal Article
%A Alberico, Teresa
%A Cianchi, Andrea
%A Sbordone, Carlo
%T Fractional integrals and $ {A}_{p}$-weights: A sharp estimate
%J Comptes Rendus. Mathématique
%D 2009
%P 1265-1270
%V 347
%N 21-22
%I Elsevier
%U http://www.numdam.org/articles/10.1016/j.crma.2009.09.001/
%R 10.1016/j.crma.2009.09.001
%G en
%F CRMATH_2009__347_21-22_1265_0
Alberico, Teresa; Cianchi, Andrea; Sbordone, Carlo. Fractional integrals and $ {A}_{p}$-weights: A sharp estimate. Comptes Rendus. Mathématique, Tome 347 (2009) no. 21-22, pp. 1265-1270. doi : 10.1016/j.crma.2009.09.001. http://www.numdam.org/articles/10.1016/j.crma.2009.09.001/
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