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

doi:10.1016/S0252-9602(13)60057-0

数学物理学报(英文版) ›› 2013, Vol. 33 ›› Issue (4): 989-997.doi: 10.1016/S0252-9602(13)60057-0

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

陈泽乾|孙牧

Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071, China； Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071, China
University of Chinese Academy of Sciences, Beijing 100049, China

收稿日期:2012-05-03 出版日期:2013-07-20 发布日期:2013-07-20
基金资助:
Z. Chen is partially supported by NSFC (11171338).

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

CHEN Ze-Qan, SUN Mu

Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071, China； Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071, China
University of Chinese Academy of Sciences, Beijing 100049, China

Received:2012-05-03 Online:2013-07-20 Published:2013-07-20
Supported by:
Z. Chen is partially supported by NSFC (11171338).

摘要/Abstract

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.

关键词: sectorial operator, H^∞ functional calculus, area integral function, square function, Hilbert space

Abstract:

Key words: sectorial operator, H^∞ functional calculus, area integral function, square function, Hilbert space

中图分类号:

47D06

陈泽乾, 孙牧. AREA INTEGRAL FUNCTIONS AND H^∞ FUNCTIONAL CALCULUS FOR SECTORIAL OPERATORS ON HILBERT SPACES[J]. 数学物理学报(英文版), 2013, 33(4): 989-997.

CHEN Ze-Qan, SUN Mu. AREA INTEGRAL FUNCTIONS AND H^∞ FUNCTIONAL CALCULUS FOR SECTORIAL OPERATORS ON HILBERT SPACES[J]. Acta mathematica scientia,Series B, 2013, 33(4): 989-997.

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

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

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