An atomic decomposition of weighted Hardy spaces associated to self-adjoint operators☆
An atomic decomposition of weighted Hardy spaces associated to self-adjoint operators☆
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DOI：
10.1016/j.jfa.2013.08.003
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发表时间：
2013-12
影响因子：
1.7
通讯作者：
Suying Liu;Liang Song
中科院分区：
文献类型：
--
作者：
Suying Liu;Liang Song
设w是R n上的A p权重，1 p<∞。设L是作用在L2（Rn）上的非负自伴算子，其热核满足逐点高斯估计.本文对文[28]中引入的加权哈代空间HL，w1（Rn）给出了q> p的加权q-原子分解.本文的主要贡献是弱化了加权哈代空间HL，w1（Rn）的权w的条件，改进了文[28]中的结果。
Let w be an A p weight on R n, 1⩽ p<∞. Let L be a non-negative self-adjoint operator acting on L 2 (R n) satisfying a pointwise Gaussian estimate for its heat kernel. In this article we obtain a weighted q-atomic decomposition with q> p for the weighted Hardy space H L, w 1 (R n) associated to L, which was introduced in [28]. The main contribution of this article is to weaken conditions on the weight w of the weighted Hardy spaces H L, w 1 (R n) and improve the result in [28].