一类线性算子的有界性探讨  

The Boundedness of a Class of Linear Operators

作　　者：林燕[1] 范超[1] 

机构地区：[1]中国矿业大学(北京)理学院,北京100083

出　　处：《江西师范大学学报（自然科学版）》2015年第5期522-525,共4页Journal of Jiangxi Normal University(Natural Science Edition)

基　　金：国家自然科学基金(11171345);中央高校基本科研业务费(2009QS16);北京高等学校青年英才计划(YETP0946)资助项目

摘　　要：研究1类在调和分析与复分析领域中有着重要应用的线性算子—Toeplitz型算子,建立了由Calderón-Zygmund型算子与BMO函数生成的Toeplitz型算子的sharp极大估计,并由此得到了该类Toeplitz型算子在Lebesgue空间的有界性.A class of linear operators called Toeplitz operators is studied,which have important applications in harmonic analysis and complex analysis. The sharp maximal estimates for the Toeplitz operators generated by CalderónZygmund type operators and BMO functions are established. And based on the sharp maximal estimates,the boundedness of this kind of Toeplitz operators on Lebesgue spaces is obtained.

关 键 词：TOEPLITZ型算子 有界性 Calderón-Zygmund型算子 BMO函数 

分 类 号：O174.2[理学—数学] G642[理学—基础数学]