WEIGHTED COMPOSITION OPERATORS ON WEIGHTED DIRICHLET SPACES

We characterize the boundedness and compactness of weighted composition operators on weighted Dirichlet spaces in terms of Nevanlinna counting functions and Caxleson measure.

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Veröffentlicht in:Acta mathematica scientia 2013-07, Vol.33 (4), p.1119-1126
1. Verfasser: 刘小松 娄增建
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creator 刘小松 娄增建
description We characterize the boundedness and compactness of weighted composition operators on weighted Dirichlet spaces in terms of Nevanlinna counting functions and Caxleson measure.
doi_str_mv 10.1016/S0252-9602(13)60068-5
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subjects 30H05
47B33
Counting
Dirichlet problem
Functions (mathematics)
Mathematical analysis
Nevanlinna counting function
Operators
s-Carleson measure
weighted composition operator
weighted Dirichlet space
加权Dirichlet空间
加权复合算子
有界性
紧凑性
计数功能
title WEIGHTED COMPOSITION OPERATORS ON WEIGHTED DIRICHLET SPACES
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