Multi-weighted boundedness for multilinear rough fractional integrals and maximal operators
Multi-weighted boundedness for multilinear rough fractional integrals and maximal operators
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DOI：
10.7153/jmi-09-20
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发表时间：
2015
影响因子：
2.9
通讯作者：
Xiangxing Tao;Yanlong Shi
中科院分区：
文献类型：
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作者：
Xiangxing Tao;Yanlong Shi
本文给出了关于权（v，u）的几个充分条件，使得多线性粗糙分数次积分I Ω，α和粗糙多次线性分数次极大算子M Ω，α从积空间L p1 v1（Rn）×L2 v2（Rn）×···×Lm vm（Rn）到Lu（Rn）有界。弱多权有界性也被导出。这些结果将在这个方向上的早期和最近的工作。
In this article, several sufficient conditions on the weights ( v,u) are given such that the multilinear rough fractional integrals I Ω,α and the rough multi-sublinear fractional maximal operators M Ω,α are bounded from the product spaces L p1 v1 (R n)×L2 v2 (Rn)×···×Lm vm (Rn) to the space Lu(Rn) . The weak multi-weighted boundedness has also been derived. These results will extend the early and recent works in this direction.