In this paper we study boundedness of commutators of the multi-dimensional Hardy type operators with BMO coefficients, in weighted global and/or local generalized Morrey spaces L Π p,φ ( R n ,w) and vanishing local Morrey spaces VL loc p,φ ( R n ,w) defined by an almost increasing function φ(r) and radial type weight w(|x|). This study is made in the perspective of posterior applications of the weighted results to some problems in the theory of PDE. We obtain sufficient conditions, in terms of some integral inequalities imposed on φ and w, and also in terms of the Matuszewska-Orlicz indices of φ and w, for such a boundedness.


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    Title :

    Commutators of Hardy operators in vanishing Morrey spaces



    Conference:

    9TH INTERNATIONAL CONFERENCE ON MATHEMATICAL PROBLEMS IN ENGINEERING, AEROSPACE AND SCIENCES: ICNPAA 2012 ; 2012 ; Vienna, Austria


    Published in:

    AIP Conference Proceedings ; 1493 , 1 ; 859-866


    Publication date :

    2012-11-06


    Size :

    8 pages





    Type of media :

    Conference paper


    Type of material :

    Electronic Resource


    Language :

    English



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