双线性Fourier乘子在变指标Besov空间的有界性

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双线性Fourier乘子在变指标Besov空间的有界性刘茵南阳师范学院数学与统计学院南阳 473061 The Boundedness of Bilinear Fourier Multiplier Operators on Variable Exponent Besov Spaces Yin LIUSchool of Mathematics and Statistics, Nanyang Normal University, Nanyang 473061, P. R. China

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摘要利用Fourier变换、逆变换和Littlewood—Paley分解等方法，本文研究了双线性Fourier乘子在变指标Besov空间的有界性.

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收稿日期: 2020-05-23

MR (2010):

O174.2

基金资助:河南省自然科学基金资助项目（202300410300）；南阳师范学院博士基金项目（2019ZX034）

作者简介: 刘茵,E-mail:201531130007@mail.bnu.edu.cn

引用本文:

刘茵. 双线性Fourier乘子在变指标Besov空间的有界性[J]. 数学学报, 2021, 64(5): 865-874. Yin LIU. The Boundedness of Bilinear Fourier Multiplier Operators on Variable Exponent Besov Spaces. Acta Mathematica Sinica, Chinese Series, 2021, 64(5): 865-874.

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