An atomic decomposition for hardy spaces associated to schrödinger operators

Liang Song, Chaoqiang Tan*, Lixin Yan

*Corresponding author for this work

    Research output: Contribution to journalArticle

    7 Citations (Scopus)

    Abstract

    Let L=-δ+V be a Schrödinger operator on R n where V is a nonnegative functionon in the space L 1loc(R n) of locally integrable functions on R n. In this paper we provide an atomic decomposition for the Hardy space H 1L(R n) associated to L in terms of the maximal function characterization. We then adapt our argument to give an atomic decomposition for the Hardy space H 1L(R n×R n) on product domains.

    Original languageEnglish
    Pages (from-to)125-144
    Number of pages20
    JournalJournal of the Australian Mathematical Society
    Volume91
    Issue number1
    DOIs
    Publication statusPublished - Aug 2011

    Keywords

    • atom
    • nontangential maximal function
    • phrases Hardy space
    • product spaces
    • Schrödinger operator

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