Composition operators related to the Dirichlet space

Composition operators related to the Dirichlet space

The Hilbert-Schmidtness of composition operators acting between the classical Hilbert Hardy space and the Dirichlet space is known. We here consider boundedness and compactness of composition operators acting between their spaces. Key words and phrases : composition operator, Hardy spaces, Dirichlet...

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Veröffentlicht in:Bulletin of the Belgian Mathematical Society, Simon Stevin Simon Stevin, 2014-10, Vol.21 (4), p.759-767
1. Verfasser: Ohno, Shuichi
Format: Artikel
Sprache:eng
Schlagworte:
30H10
30H25
47B33
Banach spaces
composition operator
Dirichlet space
Hardy spaces
Mathematical research
Operator theory
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Beschreibung
Zusammenfassung:The Hilbert-Schmidtness of composition operators acting between the classical Hilbert Hardy space and the Dirichlet space is known. We here consider boundedness and compactness of composition operators acting between their spaces. Key words and phrases : composition operator, Hardy spaces, Dirichlet space.
ISSN:1370-1444
2034-1970
DOI:10.36045/bbms/1414091013