双线性Fourier乘子在Triebel-Lizorkin和Besov空间的有界性

刘茵, 胡国恩, 赵纪满

数学学报 ›› 2017, Vol. 60 ›› Issue (3) : 369-382.

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数学学报 ›› 2017, Vol. 60 ›› Issue (3) : 369-382. DOI: 10.12386/A2017sxxb0030
论文

双线性Fourier乘子在Triebel-Lizorkin和Besov空间的有界性

    刘茵1, 胡国恩2, 赵纪满1
作者信息 +

Bilinear Fourier Multiplier Operators on Triebel-Lizorkin and Besov Spaces

    Yin LIU1, Guo En HU2, Ji Man ZHAO1
Author information +
文章历史 +

摘要

本文利用Littlewood-Paley分解,Fourier变换和逆变换等方法,研究了双线性Fourier乘子在非齐次正光滑性Triebel-Lizorkin 空间和 Besov 空间的有界性.

Abstract

Using the Littlewood-Paley decomposition technique, Fourier transform and inverse Fourier transform, we study the boundedness of bilinear Fourier multiplier operators on the scales of inhomogeneous Triebel-Lizorkin and Besov spaces with positive smoothness.

关键词

双线性Fourier 乘子 / Triebel-Lizorkin 空间 / Besov 空间

Key words

bilinear Fourier multiplier operators / Triebel-Lizorkin spaces / Besov spaces

引用本文

导出引用
刘茵, 胡国恩, 赵纪满. 双线性Fourier乘子在Triebel-Lizorkin和Besov空间的有界性. 数学学报, 2017, 60(3): 369-382 https://doi.org/10.12386/A2017sxxb0030
Yin LIU, Guo En HU, Ji Man ZHAO. Bilinear Fourier Multiplier Operators on Triebel-Lizorkin and Besov Spaces. Acta Mathematica Sinica, Chinese Series, 2017, 60(3): 369-382 https://doi.org/10.12386/A2017sxxb0030

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基金

国家自然科学基金资助项目(11471040,11371370);中央高校基本科研基金(2014KJJCA10)

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