Comptes Rendus
no. 12
Harmonic analysis
Rough fractional integrals and its commutators on variable Morrey spaces
[Intégrales fractionnaires rugueuses et ses commutateurs sur les espaces de Morrey avec exposant variable]

Présenté par : the Editorial Board

Jian Tan1 ; Jiman Zhao1
1 School of Mathematical Sciences, Beijing Normal University, Key Laboratory of Mathematics and Complex Systems, Ministry of Education, Beijing 100875, PR China
Comptes Rendus. Mathématique, Volume 353 (2015) no. 12, pp. 1117-1122.

Dans cet article, les auteurs obtiennent la bornitude des intégrales fractionnaires avec un noyau singulier dans des espaces de Morrey (avec exposant variable). De plus, la bornitude des commutateurs généralisés entre ces opérateurs et la multiplication par une fonction BMO est aussi considérée.

In this paper, the authors obtain the boundedness of fractional integrals with rough kernel on variable Morrey spaces. The corresponding boundedness for commutators generalized by the fractional integral and BMO function is also considered.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2015.09.024
Jian Tan 1 ; Jiman Zhao 1

1 School of Mathematical Sciences, Beijing Normal University, Key Laboratory of Mathematics and Complex Systems, Ministry of Education, Beijing 100875, PR China 
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Jian Tan; Jiman Zhao. Rough fractional integrals and its commutators on variable Morrey spaces. Comptes Rendus. Mathématique, Volume 353 (2015) no. 12, pp. 1117-1122. doi : 10.1016/j.crma.2015.09.024. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2015.09.024/

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