English

Abstract

Let L be a non-negative self-adjoint operator acting on L2(R n ) satisfying a pointwise Gaussian estimate for its heat kernel. Let w be an A r weight on R n × R n , 1 < r < ∞. In this article we obtain a weighted atomic decomposition for the weighted Hardy space H , (R n ×R n ), 0 < p ≤ 1 associated to L. Based on the atomic decomposition, we show the dual relationship between H , 1 (R n × R n ) and BMOL,w(R n × R n ).