Acta mathematica scientia, Series B >
AREA INTEGRAL FUNCTIONS AND H∞ FUNCTIONAL CALCULUS FOR SECTORIAL OPERATORS ON HILBERT SPACES
Received date: 2012-05-03
Online published: 2013-07-20
Supported by
Z. Chen is partially supported by NSFC (11171338).
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.
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 . DOI: 10.1016/S0252-9602(13)60057-0
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