Comptes Rendus
no. 7
Mathematical Analysis/Harmonic Analysis
Littlewood–Paley and Lusin functions on stratified groups
[Les fonctions de Littlewood–Paley et Lusin sur les groupes stratifiés]

Présenté par : Jean-Pierre Kahane

Jiman Zhao1
1 School of Mathematical Sciences, Beijing Normal University, Beijing 100875, PR China
Comptes Rendus. Mathématique, Volume 345 (2007) no. 7, pp. 377-380.

Dans cette Note, nous définissons les fonctions de Littlewood–Paley et de Lusin sur les groupes stratifiés. Nous prouvons que pour 1<p<∞, elles sont bornées sur Lp.

In this Note, we define the Littlewood–Paley and Lusin functions associated with the sub-Laplacian operator on stratified groups. The Lp (1<p<∞) boundedness of Littlewood–Paley and Lusin functions are proved.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2007.09.007
Jiman Zhao 1

1 School of Mathematical Sciences, Beijing Normal University, Beijing 100875, PR China 
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Jiman Zhao. Littlewood–Paley and Lusin functions on stratified groups. Comptes Rendus. Mathématique, Volume 345 (2007) no. 7, pp. 377-380. doi : 10.1016/j.crma.2007.09.007. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2007.09.007/

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[7] N. Lohoué Transformées de Riesz et fonctions de Littlewood–Paley sur les groupes non moyennables, C. R. Acad. Sci. Paris Sér. I Math., Volume 306 (1988) no. 7, pp. 327-330 (in French)

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