Weighted inequalities for multilinear fractional integral operators
Weighted inequalities for multilinear fractional integral operators
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DOI：
10.1007/bf03191210
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发表时间：
2009-06
影响因子：
1.1
通讯作者：
Kabe Moen
中科院分区：
文献类型：
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作者：
Kabe Moen
提出了多线性分数阶积分算子和极大函数的加权理论。得到了这些算子的两个权不等式的充分条件，包括“幂与对数凸点”和anA∞条件。对于一个权重不等式，然后作为两个权重不等式的结果得到了一个充分必要条件。作为应用，给出了适用于多线性环境的poincar<s:1>不等式和Sobolev不等式。
A weighted theory for multilinear fractional integral operators and maximal functions is presented. Sufficient conditions for the two weight inequalities of these operators are found, including “power and logarithmic bumps” and anA∞condition. For one weight inequalities a necessary and sufficient condition is then obtained as a consequence of the two weight inequalities. As an application, Poincaré and Sobolev inequalities adapted to the multilinear setting are presented.