Functions of vanishing mean oscillation
Functions of vanishing mean oscillation
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DOI：
10.1090/s0002-9947-1975-0377518-3
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发表时间：
1975-06
影响因子：
1.3
通讯作者：
D. Sarason
中科院分区：
文献类型：
--
作者：
D. Sarason
一个有界平均振荡的函数被称为有消失的平均振荡，如果粗略地说，它的平均振荡是局部小的，在一致的意义。本文用几种方法刻划了消失平均振荡函数类。这类应用于回答分析中的两个问题，一个涉及满足强混合条件的平稳随机过程，另一个涉及代数H + C。
A function of bounded mean oscillation is said to have vanish- ing mean oscillation if, roughly speaking, its mean oscillation is locally small, in a uniform sense. In the present paper the class of functions of vanishing mean oscil- lation is characterized in several ways. This class is then applied to answer two questions in analysis, one involving stationary stochastic processes satisfying the strong mixing condition, the other involving the algebra H + C.