傅里叶变换的衰变与广义Besov空间

IF 1.1 Q1 MATHEMATICS

Constructive Mathematical Analysis Pub Date : 2019-07-23 DOI:10.33205/cma.646557

T. Jordão

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引用次数: 3

摘要

给出了广义Lipschitz和Besov空间的傅里叶变换衰减的表征。特别地，得到了Titchmarsh型的充分必要条件。该方法是基于基于傅里叶变换衰减特性的$\beta$-允许的乘子算子族的近似速率的双边估计。

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Decay of Fourier transforms and generalized Besov spaces

A characterization of the generalized Lipschitz and Besov spaces in terms of decay of Fourier transforms is given. In particular, necessary and sufficient conditions of Titchmarsh type are obtained. The method is based on two-sided estimate for the rate of approximation of a $\beta$-admissible family of multipliers operators in terms of decay properties of Fourier transform.

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来源期刊

Constructive Mathematical Analysis Mathematics-Analysis

CiteScore

2.40

自引率

0.00%

发文量

审稿时长

6 weeks