Fractional integration associated to higher order elliptic operators

Donggao Deng*, Ming Xu, Lixin Yan

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review


    The authors prove the Hardy-Littlewood-Sobolev theorems for generalized fractional integrals L-α/2 for 0 < α < n/m, where L is a complex elliptic operator of arbitrary order 2m on ℝn.

    Original languageEnglish
    Pages (from-to)229-238
    Number of pages10
    JournalChinese Annals of Mathematics. Series B
    Issue number2
    Publication statusPublished - 2005


    • Fractional integrals
    • Hardy-Littlewood-Sobolev theorem
    • Higher order elliptic operator


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