AREA INTEGRAL FUNCTIONS FOR SECTORIAL OPERATORS ON Lp SPACES

doi:10.1016/S0252-9602(14)60045-X

数学物理学报(英文版) ›› 2014, Vol. 34 ›› Issue (3): 739-747.doi: 10.1016/S0252-9602(14)60045-X

AREA INTEGRAL FUNCTIONS FOR SECTORIAL OPERATORS ON L^p SPACES

陈泽乾, 孙牧

Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, 30 West District, Xiao-Hong-Shan, Wuhan 430071, China|Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, 30 West District, Xiao-Hong-Shan, Wuhan 430071, China|School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China

收稿日期:2013-02-27 出版日期:2014-05-20 发布日期:2014-05-20
基金资助:
Chen is partially supported by NSFC grant No. 11171338.

AREA INTEGRAL FUNCTIONS FOR SECTORIAL OPERATORS ON L^p SPACES

CHEN Ze-Qan, SUN Mu

Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, 30 West District, Xiao-Hong-Shan, Wuhan 430071, China|Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, 30 West District, Xiao-Hong-Shan, Wuhan 430071, China|School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China

Received:2013-02-27 Online:2014-05-20 Published:2014-05-20
Supported by:
Chen is partially supported by NSFC grant No. 11171338.

摘要/Abstract

摘要：

Area integral functions are introduced for sectorial operators on Lp-spaces. We establish the equivalence between the square and area integral functions for sectorial operators on Lp spaces. This follows that the results of Cowling, Doust, McIntosh, Yagi, and Le Merdy on H1 functional calculus of sectorial operators on Lp-spaces hold true when the square functions are replaced by the area integral functions.

关键词: Sectorial operator, H&infin, Functional calculus, area integral function, square function, L^p space

Abstract:

Key words: Sectorial operator, H&infin, Functional calculus, area integral function, square function, L^p space

中图分类号:

47D06

陈泽乾, 孙牧. AREA INTEGRAL FUNCTIONS FOR SECTORIAL OPERATORS ON L^p SPACES[J]. 数学物理学报(英文版), 2014, 34(3): 739-747.

CHEN Ze-Qan, SUN Mu. AREA INTEGRAL FUNCTIONS FOR SECTORIAL OPERATORS ON L^p SPACES[J]. Acta mathematica scientia,Series B, 2014, 34(3): 739-747.

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AREA INTEGRAL FUNCTIONS FOR SECTORIAL OPERATORS ON L^p SPACES

AREA INTEGRAL FUNCTIONS FOR SECTORIAL OPERATORS ON L^p SPACES

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