A maximal function characterization for Hardy spaces associated to nonnegative self-adjoint operators satisfying Gaussian estimates

2015/03/12 by Song, Liang, Yan, Lixin · 2 citations
#42B30 #42B35 #47B38 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1503.03624

Abstract

Let L be a nonnegative, self-adjoint operator satisfying Gaussian estimates on L²(\RRⁿ). In this article we give an atomic decomposition for the Hardy spaces H^p_L,max(\R) in terms of the nontangential maximal functions associated with the heat semigroup of L, and this leads eventually to characterizations of Hardy spaces associated to L, via atomic decomposition or the nontangential maximal functions. The proofs are based on a modification of technique due to A. Calderón \citeC.

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