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

被引：0
|
作者：
陈泽乾 [1 ]
孙牧 [2 ,3 ]
机构：
[1] Wuhan Institute of Physics and Mathematics,Chinese Academy of Sciences
[2] Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences
[3] University of Chinese Academy of Sciences
来源：
Acta Mathematica Scientia | 2013年 / 33卷 / 04期
关键词：
sectorial operator; H∞functional calculus; area integral function; square function; Hilbert space;
D O I：
暂无
中图分类号：
O177.1 [希尔伯特空间及其线性算子理论];
学科分类号：
070104 ;
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∞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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