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Comptes Rendus Mathématique
Volume 355, n° 8
pages 906-909 (août 2017)
Doi : 10.1016/j.crma.2017.07.016
Received : 24 May 2017 ;  accepted : 26 July 2017
Sharp weighted estimates involving one supremum
Estimations pondérées précisées associées à un seul supremum
 

Kangwei Li
 BCAM-Basque Center for Applied Mathematics, Alameda de Mazarredo 14, 48009 Bilbao, Spain 

Abstract

In this note, we study the sharp weighted estimate involving one supremum. In particular, we give a positive answer to an open question raised by Lerner and Moen. We also extend the result to rough homogeneous singular integral operators.

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Résumé

Nous étudions dans cette note les estimations pondérées précisées associées à un seul supremum. En particulier, nous résolvons par l'affirmative un probléme ouvert posé par Lerner et Moen. Nous étendons également le résultat aux opérateurs intégraux singuliers homogènes rugueux.

The full text of this article is available in PDF format.


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