AREA INTEGRAL FUNCTIONS AND H∞ FUNCTIONAL CALCULUS FOR SECTORIAL OPERATORS ON HILBERT SPACES

被引：1
|
作者：
Chen, Zeqian [1 ]
Sun, Mu [1 ,2 ]
机构：
[1] Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan 430071, Peoples R China
[2] Univ Chinese Acad Sci, Beijing 100049, Peoples R China
来源：
ACTA MATHEMATICA SCIENTIA | 2013年 / 33卷 / 04期
关键词：
sectorial operator; H-infinity functional calculus; area integral function; square function; Hilbert space;
D O I：
10.1016/S0252-9602(13)60057-0
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Area integral functions are introduced for sectorial operators on Hilbert spaces. We establish the equivalence relationship between the square and area integral functions. This immediately extends McIntosh/Yagi's results on H-infinity functional calculus of sectorial operators on Hilbert spaces to the case when the square functions are replaced by the area integral functions.
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页码：989 / 997
页数：9
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