Resumen de Hardy Spaces and the Dirichlet Problem on Lipschitz Domains.

Jill Pipher, Carlos E. Kenig

• Our concern in this paper is to describe a class of Hardy spaces Hp(D) for 1 = p < 2 on a Lipschitz domain D Ì Rn when n = 3, and a certain smooth counterpart of Hp(D) on Rn-1, by providing an atomic decomposition and a description of their duals.