关于Stein和Weiss定理的推广及其应用

Complex Variables, Theory and Application: An International Journal Pub Date : 2004-08-15 DOI:10.1080/02781070410001731684

Ivan H. Feschiev, S. Gocheva-Ilieva

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引用次数: 1

摘要

本文证明了Stein和Weiss关于区间[0,2 π]上给定集合的共轭特征函数的度量性质的定理的推广。作为有界函数希尔伯特变换的一个应用，本文还建立了法瓦德常数为的最优相关性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On the extension of a theorem of Stein and Weiss and its application

In this paper there is proved a generalization of a theorem of Stein and Weiss concerning metric properties of the conjugate characteristic functions of given sets on the interval [0, 2π]. As an application for the Hilbert transform of a bounded function, the optimal correlation where the Favard's constant : is also established.

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Complex Variables, Theory and Application: An International Journal

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