Let Ω be a special Lipschitz domain on ℝn, and L be a second-order elliptic self-adjoint operator in divergence form L=-div(A∇) on Lipschitz domain Ω subject to Neumann boundary condition. In this paper, we give a simple proof of the atomic decomposition for Hardy spaces HNp (Ω) of Ω for a range of p, by means of nontangential maximal function associated with the Poisson semigroup of L.
|Number of pages||11|
|Journal||Journal of Functional Analysis|
|Publication status||Published - 15 Oct 2004|