Abstract
We introduce Hardy spaces ℋz,d1(Ω, Λℓ) of exact ℓ-forms on domains Ω in ℝN. We prove atomic decompositions of ℋz,d 1(Ω, Λℓ) 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, Λℓ). We also establish a "div-curl" type theorem on Ω with an application to coercivity.
Original language | English |
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Pages (from-to) | 583-611 |
Number of pages | 29 |
Journal | Indiana University Mathematics Journal |
Volume | 53 |
Issue number | 2 |
DOIs | |
Publication status | Published - 2004 |