Hardy spaces of exact forms on Lipschitz domains in ℝn

Zengjian Lou*, Alan McIntosh

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    10 Citations (Scopus)

    Abstract

    We introduce Hardy spaces ℋz,d1(Ω, Λ) of exact ℓ-forms on domains Ω in ℝN. We prove atomic decompositions of ℋz,d 1(Ω, Λ) when Ω is a special Lipschitz domain or a bounded strongly Lipschitz domain in ℝN and use these atomic decompositions to characterize dual spaces of ℋz,d1(Ω, Λ). We also establish a "div-curl" type theorem on Ω with an application to coercivity.

    Original languageEnglish
    Pages (from-to)583-611
    Number of pages29
    JournalIndiana University Mathematics Journal
    Volume53
    Issue number2
    DOIs
    Publication statusPublished - 2004

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