双线性傅里叶乘子算子的量化加权估计

数学物理学报 ›› 2019, Vol. 39 ›› Issue (2): 253-263.

双线性傅里叶乘子算子的量化加权估计

孙爱文*(),瞿萌,王敏

安徽师范大学数学与统计学院安徽芜湖 241003

收稿日期:2017-12-03 出版日期:2019-04-26 发布日期:2019-05-05
通讯作者: 孙爱文 E-mail:sunaiwen@mail.ahnu.edu.cn
基金资助:
国家自然科学基金(11471033);安徽省高校自然科学项目(KJ2017ZD27);安徽师范大学科研培育基金(2018XJJ93)

A Quantitative Weighted Estimate for Bilinear Fourier Multiplier Operators

Aiwen Sun*(),Meng Qu,Min Wang

School of Mathematics and Statistics, Anhui Normal University, Anhui Wuhu 241003

Received:2017-12-03 Online:2019-04-26 Published:2019-05-05
Contact: Aiwen Sun E-mail:sunaiwen@mail.ahnu.edu.cn
Supported by:
the NSFC(11471033);the University NSR Project of Anhui Province(KJ2017ZD27);the Research Culture Funds of Anhui Normal University(2018XJJ93)

摘要/Abstract

摘要：

该文利用稀疏算子对双线性傅里叶乘子算子进行控制，并给出稀疏算子的加权估计，从而得到带有多重权的双线性傅里叶乘子算子的量化加权估计，改进了文献[1]的结果.

关键词: 双线性傅里叶乘子, 多重权, 双线性奇异积分, 稀疏算子

Abstract:

In this paper, we obtain the quantitative estimate with multiple-weight for bilinear Fourier multiplier operator, by dominating the bilinear Fourier multiplier operator by sparse operator, and establishing the weighted estimate for sparse operator. It improves the result in[1].

Key words: Bilinear Fourier multiplier, Multiple-weight, Bilinear singular integral, Sparse operator

中图分类号:

O174.2

孙爱文,瞿萌,王敏. 双线性傅里叶乘子算子的量化加权估计[J]. 数学物理学报, 2019, 39(2): 253-263.

Aiwen Sun,Meng Qu,Min Wang. A Quantitative Weighted Estimate for Bilinear Fourier Multiplier Operators[J]. Acta mathematica scientia,Series A, 2019, 39(2): 253-263.

参考文献 19

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