Acta mathematica scientia, Series B >
AREA INTEGRAL FUNCTIONS FOR SECTORIAL OPERATORS ON Lp SPACES
Received date: 2013-02-27
Online published: 2014-05-20
Supported by
Chen is partially supported by NSFC grant No. 11171338.
Area integral functions are introduced for sectorial operators on Lp-spaces. We establish the equivalence between the square and area integral functions for sectorial operators on Lp spaces. This follows that the results of Cowling, Doust, McIntosh, Yagi, and Le Merdy on H1 functional calculus of sectorial operators on Lp-spaces hold true when the square functions are replaced by the area integral functions.
CHEN Ze-Qan , SUN Mu . AREA INTEGRAL FUNCTIONS FOR SECTORIAL OPERATORS ON Lp SPACES[J]. Acta mathematica scientia, Series B, 2014 , 34(3) : 739 -747 . DOI: 10.1016/S0252-9602(14)60045-X
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