Littlewood–Paley and Lusin functions on stratified groups

Jiman Zhao

doi:10.1016/j.crma.2007.09.007

Mathematical Analysis/Harmonic Analysis

Littlewood–Paley and Lusin functions on stratified groups

Presented by: Jean-Pierre Kahane

Jiman Zhao ¹

¹ School of Mathematical Sciences, Beijing Normal University, Beijing 100875, PR China

Comptes Rendus. Mathématique, Volume 345 (2007) no. 7, pp. 377-380.

Abstract
Résumé

In this Note, we define the Littlewood–Paley and Lusin functions associated with the sub-Laplacian operator on stratified groups. The $L^{p}$ ( $1 < p < \infty$ ) boundedness of Littlewood–Paley and Lusin functions are proved.

Dans cette Note, nous définissons les fonctions de Littlewood–Paley et de Lusin sur les groupes stratifiés. Nous prouvons que pour $1 < p < \infty$ , elles sont bornées sur $L^{p}$ .

Received: 2007-05-10
Accepted: 2007-09-12
Published online: 2007-10-01

DOI: 10.1016/j.crma.2007.09.007

Author's affiliations:

Jiman Zhao ¹

¹ School of Mathematical Sciences, Beijing Normal University, Beijing 100875, PR China

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     author = {Jiman Zhao},
     title = {Littlewood{\textendash}Paley and {Lusin} functions on stratified groups},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {377--380},
     publisher = {Elsevier},
     volume = {345},
     number = {7},
     year = {2007},
     doi = {10.1016/j.crma.2007.09.007},
     language = {en},
}

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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/

References
Cited by

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