We prove that the generalized Morrey spaces are embedded between two generalized Stummel classes whose characteristics differ by a logarithmic factor. To this end, we prove a new property of Morrey spaces by showing that the generalized local Morrey spaces are embedded between weighted Lebesgue spaces with weights differing similarly only by a logarithmic factor. All the embeddings are sharp. We also give an equivalent norm for the generalized Stummel type spaces.


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    Title :

    On precise embeddings between the generalized Morrey spaces and Stummel classes


    Contributors:

    Conference:

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


    Published in:

    AIP Conference Proceedings ; 1493 , 1 ; 867-870


    Publication date :

    2012-11-06


    Size :

    4 pages





    Type of media :

    Conference paper


    Type of material :

    Electronic Resource


    Language :

    English



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