The weighted Hardy spaces associated to self-adjoint operators and their duality on product spaces |
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| Authors: | Suying Liu Minghua Yang |
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| Institution: | 1.School of Science,Northwestern Polytechnical University,Xian,P.R. China;2.School of Information Technology,Jiangxi University of Finance and Economics,Nanchang,P.R. China |
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| 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 L,w p (R n ×R n ), 0 < p ≤ 1 associated to L. Based on the atomic decomposition, we show the dual relationship between H L,w 1 (R n × R n ) and BMOL,w(R n × R n ). |
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