Fourier spectrum characterization of Hardy spaces and applications

Tao Qian*, Yuesheng Xu, Dunyan Yan, Lixin Yan, Bo Yu

*Corresponding author for this work

    Research output: Contribution to journalArticle

    34 Citations (Scopus)

    Abstract

    We characterize in terms of Fourier spectrum the boundary values of functions in the complex Hardy spaces Hp(ℂ±), 1 ≤ p ≤∞. As an application we extend the Bedrosian identity, originally stated for square-integrable functions, to the Lp (ℝ)cases.

    Original languageEnglish
    Pages (from-to)971-980
    Number of pages10
    JournalProceedings of the American Mathematical Society
    Volume137
    Issue number3
    DOIs
    Publication statusPublished - Mar 2009

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