Sharp weighted estimates involving one supremum

Kangwei Li

doi:10.1016/j.crma.2017.07.016

Harmonic analysis

Sharp weighted estimates involving one supremum
[Estimations pondérées précisées associées à un seul supremum]

Présenté par : the Editorial Board

Kangwei Li ¹

¹ BCAM-Basque Center for Applied Mathematics, Alameda de Mazarredo 14, 48009 Bilbao, Spain

Comptes Rendus. Mathématique, Volume 355 (2017) no. 8, pp. 906-909.

Résumé
Abstract

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.

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.

Reçu le : 2017-05-24
Accepté le : 2017-07-26
Publié le : 2017-08-01

DOI : 10.1016/j.crma.2017.07.016

Affiliations des auteurs :

Kangwei Li ¹

¹ BCAM-Basque Center for Applied Mathematics, Alameda de Mazarredo 14, 48009 Bilbao, Spain

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     author = {Kangwei Li},
     title = {Sharp weighted estimates involving one supremum},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {906--909},
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     number = {8},
     year = {2017},
     doi = {10.1016/j.crma.2017.07.016},
     language = {en},
}

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Kangwei Li. Sharp weighted estimates involving one supremum. Comptes Rendus. Mathématique, Volume 355 (2017) no. 8, pp. 906-909. doi : 10.1016/j.crma.2017.07.016. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2017.07.016/

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