Acta mathematica scientia, Series B >
WEIGHTED COMPOSITION OPERATORS ON WEIGHTED DIRICHLET SPACES
Received date: 2012-04-03
Online published: 2013-07-20
Supported by
This work was supported by NSF of China (11171203, 11201280), New Teacher’s Fund for Doctor Stations, Ministry of Education (20114402120003) and NSF of Guangdong Province (10151503101000025, S2011010004511, S2011040004131).
We characterize the boundedness and compactness of weighted composition operators on weighted Dirichlet spaces in terms of Nevanlinna counting functions and Carleson measure.
LIU Xiao-Song , LOU Zeng-Jian . WEIGHTED COMPOSITION OPERATORS ON WEIGHTED DIRICHLET SPACES[J]. Acta mathematica scientia, Series B, 2013 , 33(4) : 1119 -1126 . DOI: 10.1016/S0252-9602(13)60068-5
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