Weighted Hardy spaces in the three-parameter case

Weighted Hardy spaces in the three-parameter case
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DOI:
10.1016/j.jmaa.2010.02.010
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发表时间:
2010-07
影响因子:
1.3
通讯作者:
Zhuoping Ruan
Zhuoping Ruan
中科院分区:
数学3区
文献类型:
--
作者:
Zhuoping Ruan

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本文利用Han和Lu发展的离散Littlewood-Paley理论的思想,在乘积权(w∈A∞)较弱的条件下,推广了三指标加权哈代空间理论,得到了奇异积分算子在加权哈代空间上的有界性.
In this paper, we use the idea of the discrete Littlewood–Paley theory developed by Han and Lu to carry out the three-parameter weighted Hardy spaces theory under a rather weak condition on the product weight (w∈A∞) and obtain the boundedness of singular integral operators on the weighted Hardy spaces.