Hardy spaces and the Dirichlet problem on Lipschitz domains.
Carlos E. Kenig, Jill Pipher (1987)
Revista Matemática Iberoamericana
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Our concern in this paper is to describe a class of Hardy spaces H(D) for 1 ≤ p < 2 on a Lipschitz domain D ⊂ R when n ≥ 3, and a certain smooth counterpart of H(D) on R, by providing an atomic decomposition and a description of their duals.