We obtain sufficient conditions and necessary conditions for the maximal operator to be bounded in the generalized grand Lebesgue space on an open set Ω ∈ Rn which is not necessarily bounded. The sufficient conditions coincide with necessary conditions for instance in the case where Ω is bounded and the standard definition of the grand space is used.


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    Title :

    Hardy-Littlewood maximal operator in generalized grand Lebesgue spaces



    Conference:

    10TH INTERNATIONAL CONFERENCE ON MATHEMATICAL PROBLEMS IN ENGINEERING, AEROSPACE AND SCIENCES: ICNPAA 2014 ; 2014 ; Narvik, Norway


    Published in:

    AIP Conference Proceedings ; 1637 , 1 ; 1137-1142


    Publication date :

    2014-12-10


    Size :

    6 pages





    Type of media :

    Conference paper


    Type of material :

    Electronic Resource


    Language :

    English




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