并元权重的几何算术平均
Geometric-arithmetic averaging of dyadic weights
摘要：
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。我们证明了一个特定的平均过程给出了一个从可测变化的并矢A_p权族构造A_p权的方法。这个平均过程是由A_p权类与有界平均振动函数空间之间的关系表示的。同样的平均过程也构造权重满足反向霍尔德（RH_p）条件的家庭的二元RH_p的权重，并扩展到多圆盘。
英文摘要：
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 A_p weights from a measurably varying family of dyadic A_p weights. This averaging process is suggested by the relationship between the A_p weight class and the space of functions of bounded mean oscillation. The same averaging process also constructs weights satisfying reverse Holder (RH_p) conditions from families of dyadic RH_p weights, and extends to the polydisc as well.
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