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

Abstract

We 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 decomposi Show more