Geometric-arithmetic averaging of dyadic weights.
Geometric-arithmetic averaging of dyadic weights.
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DOI：
10.4171/rmi/659
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发表时间：
2010-02
影响因子：
1.2
通讯作者：
J. Pipher;Lesley A. Ward;Xiao Xiao-Xiao
中科院分区：
文献类型：
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作者：
J. Pipher;Lesley A. Ward;Xiao Xiao-Xiao
（Muckenhoupt）权理论出现在许多分析领域，例如与加权空间上的奇异积分和极大函数的界有关。我们证明了一定的平均过程给出了一种方法，用于从一个可测量的变化家庭的二元Ap权重构建Ap权重。这个平均过程是由Ap权类和有界平均振荡函数空间之间的关系提出的。同样的平均过程也构造了
The theory of (Muckenhoupt) weights arises in many areas of analysis, for example in connection with bounds for singular integrals and maximal functions on weighted spaces. We prove that a certain averaging process gives a method for constructing Ap weights from a measurably varying family of dyadic Ap weights. This averaging process is suggested by the relationship between the Ap weight class and the space of functions of bounded mean oscillation. The same averaging process also constructs