Acta mathematica scientia,Series B ›› 2013, Vol. 33 ›› Issue (4): 989-997.doi: 10.1016/S0252-9602(13)60057-0

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

 CHEN Ze-Qan, SUN Mu   

  1. 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).

Abstract:

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.

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

CLC Number: 

  • 47D06
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