WEIGHTED COMPOSITION OPERATORS ON WEIGHTED DIRICHLET SPACES

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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Bibliographische Detailangaben
Veröffentlicht in:Acta mathematica scientia 2013-07, Vol.33 (4), p.1119-1126
1. Verfasser: 刘小松 娄增建
Format: Artikel
Sprache:eng
Schlagworte:
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
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Beschreibung
Zusammenfassung:We characterize the boundedness and compactness of weighted composition operators on weighted Dirichlet spaces in terms of Nevanlinna counting functions and Caxleson measure.
ISSN:0252-9602
1572-9087
DOI:10.1016/S0252-9602(13)60068-5