Comptes Rendus
no. 5
Mathematical analysis
A note on maximal commutators with rough kernels
[Une note sur les commutateurs maximaux avec des noyaux grossiers]

Présenté par : Haïm Brézis

Yongming Wen1 ; Weichao Guo2 ; Huoxiong Wu1 ; Guoping Zhao3
1 School of Mathematical Sciences, Xiamen University, Xiamen 361005, China
2 School of Science, Jimei University, Xiamen, 361021, China
3 School of Applied Mathematics, Xiamen University of Technology, Xiamen 361024, China
Comptes Rendus. Mathématique, Volume 357 (2019) no. 5, pp. 424-435.

Cet article donne une caractérisation de la compacité des commutateurs maximaux avec des noyaux grossiers dans des espaces de Lebesgue pondérés, ce qui est nouveau et intéressant, même dans les cas non pondérés. Entretemps, une nouvelle caractérisation de la limite pondérée pour ces opérateurs est également établie.

This paper gives a characterization of compactness for maximal commutators with rough kernels in weighted Lebesgue spaces, which is new and interesting even in un-weighted cases. Meanwhile, a new characterization of weighted boundedness for such operators is also established.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2019.04.014
Yongming Wen 1 ; Weichao Guo 2 ; Huoxiong Wu 1 ; Guoping Zhao 3

1 School of Mathematical Sciences, Xiamen University, Xiamen 361005, China
2 School of Science, Jimei University, Xiamen, 361021, China
3 School of Applied Mathematics, Xiamen University of Technology, Xiamen 361024, China 
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Yongming Wen; Weichao Guo; Huoxiong Wu; Guoping Zhao. A note on maximal commutators with rough kernels. Comptes Rendus. Mathématique, Volume 357 (2019) no. 5, pp. 424-435. doi : 10.1016/j.crma.2019.04.014. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2019.04.014/

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