Bilinear integral operators with certain hypersingularities

Yaryong Heo, Sunggeum Hong, Chan Woo Yang

    Research output: Contribution to journalArticlepeer-review

    1 Citation (Scopus)

    Abstract

    In this paper, we establish the sharp Lp boundedness for the bilinear integral operators with certain hypersingularities that generalize the bilinear Hilbert transform.

    Original languageEnglish
    Pages (from-to)628-661
    Number of pages34
    JournalJournal of Mathematical Analysis and Applications
    Volume456
    Issue number1
    DOIs
    Publication statusPublished - 2017 Dec 1

    Bibliographical note

    Publisher Copyright:
    © 2017 Elsevier Inc.

    Keywords

    • Bilinear Hilbert transform
    • Bilinear operators
    • Fractional derivatives
    • Hypersingular integral operators

    ASJC Scopus subject areas

    • Analysis
    • Applied Mathematics

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