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Comptes Rendus Mathématique
Volume 353, n° 12
pages 1117-1122 (décembre 2015)
Doi : 10.1016/j.crma.2015.09.024
Received : 2 June 2015 ;  accepted : 28 September 2015
Rough fractional integrals and its commutators on variable Morrey spaces
Intégrales fractionnaires rugueuses et ses commutateurs sur les espaces de Morrey avec exposant variable

Jian Tan , Jiman Zhao
 School of Mathematical Sciences, Beijing Normal University, Key Laboratory of Mathematics and Complex Systems, Ministry of Education, Beijing 100875, PR China 


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.

The full text of this article is available in PDF format.

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.

The full text of this article is available in PDF format.

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