Singular Integral Operators Between the Classical #br#
Type and the Product Type

TAN Chaoqiang

您当前的位置：

首页 >

文章列表页 >

Singular Integral Operators Between the Classical #br# Type and the Product Type

更新时间：2023-12-11

- Singular Integral Operators Between the Classical #br# Type and the Product Type
- Acta Scientiarum Naturalium Universitatis SunYatseni Vol. 51, Issue 5, Pages: 58-62(2012)
- 作者机构：
  
  汕头大学理学院数学系,广东,汕头,515063
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Published：2012，
  
  Published Online：25 September 2012，
扫描看全文
TAN Chaoqiang. Singular Integral Operators Between the Classical #br# Type and the Product Type. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 51(5):58-62(2012)
DOI：

TAN Chaoqiang. Singular Integral Operators Between the Classical #br# Type and the Product Type. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 51(5):58-62(2012) DOI：

摘要

经典单参数奇异积分算子与多参数乘积型奇异积分算子既有联系也有区别。文中建立一套介于两者之间的奇异积分算子理论，给出该类算子的L

1)有界性。其中L

有界性是利用傅里叶变换与分部积分等方法得到的。一般的L

1)有界性是利用经典的Littlewood-Paley-Stein理论和方法得到的。

Abstract

A set of theory of singular integral operators is established

which can be seen as the middle class between the classical single-parameter singular integral operators and the multi-parameter product singular integral operators. The L

1) boundedness for these operators is obtained

where the L

boundedness of these operators is obtained by the method of Fourier transform and integration by part and the L

1) boundedness is obtained by the classical method of Littlewood-Paley-Stein theory.

关键词

基础数学傅里叶分析奇异积分算子

Keywords

foundations of mathematicsFourier analysissingular integral operator

references

Views

365

下载量

CSCD

Alert me when the article has been cited

提交

Tools

Publicity Resources

No data

Related Author

No data

Related Institution

No data

Postal code：510275
Tel：020-84112585，84113223 Email：xuebaozr@mail.sysu.edu.cn
Technical support is provided by Beijing Founder electronics co., LTD 京ICP备09064830号-19 京公网安备11010802024621
It is recommended to read the content of this site in Chrome&IE9+. Please switch to extreme mode in browser 360.
Cookies We use cookies to help provide and enhance our service and tailor content. By continuing, you agree to the use of cookies.

⁰