Weighted estimates for the iterated commutators of multilinear maximal and fractional type operators

Weighted estimates for the iterated commutators of multilinear maximal and fractional type operators
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DOI:
10.4064/sm217-2-1
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发表时间:
2011-05
期刊:
影响因子:
0.8
通讯作者:
Qingying Xue
Qingying Xue
中科院分区:
数学3区
文献类型:
--
作者:
Qingying Xue

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本文引入和研究了多线性奇异积分算子的极大算子的迭代交换子T�,�b和多线性分数次积分算子的迭代交换子Iα,�b。T�,�b(~f)(X)=supδ>0��[b1,[b2,··[Bm 1,[Bm,Tδ]m]m]m1···2]1(~f)(X)
In this paper, the following iterated commutators T�,�b of maximal operator for multilinear singular integral operators and Iα,�b of multilinear fractional integral operator are introduced and studied T�,�b( ~ f)(x) = sup δ>0 � � [b1,[b2,···[bm 1,[bm,Tδ]m]m 1 ···]2]1( ~ f)(x)