Abstract
We give a decomposition of the Hardy space ℋ1z(Ω) into "div-curl" quantities for Lipschitz domains in ℝn. We also prove a decomposition of ℋ1z(Ω) into Jacobians det Du, u∈ W1,20 (Ω,ℝ2) for Ω in ℝ2. This partially answers a well-known open problem.
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