Weighted Estimates for Toeplitz Operators Related to Pseudodifferential Operators

被引：4

作者：

Lin, Yan ^{[1
]}

Liu, Zongguang ^{[1
]}

Xu, Chengdan ^{[1
]}

Ren, Zichu ^{[1
]}

机构：

[1] China Univ Min & Technol, Sch Sci, Beijing 100083, Peoples R China

来源：

JOURNAL OF FUNCTION SPACES | 2016年 / 2016卷

基金：

中国国家自然科学基金;

关键词：

NORM INEQUALITIES; SPACES; COMMUTATORS; SOBOLEV;

D O I：

10.1155/2016/1084859

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The authors establish the weighted L-p. estimates for a class of pseudodifferential operators for both cases 1 < p < 8 and p = 1, where the weight class is bigger than the classical Muckenhoupt's weight class. Moreover, the weighted estimates for the Toeplitz operators related to pseudodifferential operators are also obtained. As their special cases, the corresponding results for the commutators of pseudodifferential operators can be deduced.

引用

页数：19

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