Product hardy spaces associated with para-accretive functions and Tb theorem

Ming-Yi Lee, Ji Li, Chin-Cheng Lin

    Research output: Contribution to journalArticle

    1 Citation (Scopus)

    Abstract

    We introduce the Hardy spaces associated with para-accretive functions in product domains and demonstrate their atomic decompositions as well as duality. Then, we establish the endpoint version of product T b theorem with respect to our Hardy spaces and the dual spaces.

    Original languageEnglish
    Pages (from-to)1438-1484
    Number of pages47
    JournalNew York Journal of Mathematics
    Volume25
    Publication statusPublished - 2019

    Keywords

    • Caldernón-Zygmund operator
    • Journé’s class
    • Carleson measure space
    • Littlewood-Paley function
    • para-accretive function
    • product Hardy space

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