On weak-star convergence in product Hardy spaces on spaces of homogeneous type

Ming Yi Lee, Ji Li, Lesley A. Ward

    Research output: Contribution to journalArticlepeer-review

    Abstract

    A classical theorem of Jones and Journé on weak-star convergence in the Hardy space H1 was generalized to the multiparameter setting by Pipher and Treil. We prove the analogous result when the underlying space is a product space of homogeneous type. The main tools we use are from recent work by Chen, Li and Ward (2013) and by Han, Li and Ward (2014).

    Original languageEnglish
    Pages (from-to)251-267
    Number of pages17
    JournalStudia Mathematica
    Volume235
    Issue number3
    DOIs
    Publication statusPublished - 2016

    Keywords

    • weak-star convergence
    • BMO
    • Hardy spaces
    • VMO
    • spaces of homogeneous type
    • multiparameter

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