Estimates for cone multipliers associated with homogeneous functions

Sunggeum Hong, Joonil Kim, Chan Woo Yang

    Research output: Contribution to journalArticlepeer-review

    Abstract

    Let p C(Rn \ {0}) be homogeneous of degree one. We show that the convolution operator Tδf̂(ξ', ξn+1)=(1-p(ξ')/|ξn+1|)δ f̂(ξ',ξn+1), (ξ',ξn+1 R n×R1 is bounded from Hardy spaces H p(Rn+1) to LP(Rn+1) for δ > n(l/p - 1/2) - 1/2, 0 < p < 1.

    Original languageEnglish
    Pages (from-to)117-132
    Number of pages16
    JournalRocky Mountain Journal of Mathematics
    Volume39
    Issue number1
    DOIs
    Publication statusPublished - 2009

    ASJC Scopus subject areas

    • General Mathematics

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