On some sharp weighted norm inequalities

On some sharp weighted norm inequalities
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DOI:
10.1016/j.jfa.2005.08.006
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发表时间:
2006-03
影响因子:
1.7
通讯作者:
A. Lerner
A. Lerner
中科院分区:
数学1区
文献类型:
--
作者:
A. Lerner

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给定一个权ω,我们考虑当ω∈Ap时与Lω p重合的空间MLω p.对于任意1<p<∞,利用ω的自相关特征,得到了Calderón-Zygmund和Littlewood-Paley算子在MLω p上的精确加权范数不等式.
Given a weight ω, we consider the space MLωpwhich coincides with Lωpwhen ω∈Ap. Sharp weighted norm inequalities on MLωpfor the Calderón–Zygmund and Littlewood–Paley operators are obtained in terms of the Apcharacteristic of ω for any 1<p<∞.