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    block this user An-Ping Li

    Research Fellow

    Beijing 100085, P.R.China

    SUFFICIENT CONDITIONS FOR BOUNDEDNESS OF THE RIESZ POTENTIAL IN LOCAL MORREY-TYPE SPACES

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    Abstract. The problem of the boundedness of the Riesz potential I?, 0 < ? < n in local Morrey-type spaces is reduced to the problem of the boundedness of the Hardy operator in weighted Lp-spaces on the cone of non-negative nonincreasing functions. This allows obtaining sharp sufficient conditions for the boundedness for all admissible values of the parameters. 1.

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    Title : SUFFICIENT CONDITIONS FOR BOUNDEDNESS OF THE RIESZ POTENTIAL IN LOCAL MORREY-TYPE SPACES
    Abstract : Abstract. The problem of the boundedness of the Riesz potential I?, 0 < ? < n in local Morrey-type spaces is reduced to the problem of the boundedness of the Hardy operator in weighted Lp-spaces on the cone of non-negative nonincreasing functions. This allows obtaining sharp sufficient conditions for the boundedness for all admissible values of the parameters. 1.
    Subject : unspecified
    Area : Mathematics
    Language : English
    Affiliations
    Url : http://www.math.cas.cz/preprint/pre-85.pdf
    Doi : 10.1.1.158.7715

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    An-Ping's Peer Evaluation activity

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