Hardy spaces of exact forms on Lipschitz domains in R^n

Lou, ZMcIntosh, Alan2015-12-130022-2518http://hdl.handle.net/1885/82513We introduce Hardy spaces ℋz,d1(Ω, Λℓ) of exact ℓ-forms on domains Ω in ℝN. We prove atomic decompositions of ℋz,d1(Ω, Λℓ) when Ω is a special Lipschitz domain or a bounded strongly Lipschitz domain in ℝN and use these atomic decomposiKeywords: Atomic decomposition; BMO; Coercivity; Div-curl; Hardy spaces of exact forms; Lipschitz domainHardy spaces of exact forms on Lipschitz domains in R^n200410.1512/iumj.2004.53.23952015-12-11