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2014 Composition operators between weighted Bergman spaces with admissible Bekolle weights
Ajay K. Sharma , Sei-ichiro Ueki
Banach J. Math. Anal. 8(1): 64-88 (2014). DOI: 10.15352/bjma/1381782088

Abstract

We study composition operators acting between weighted Bergman spaces with admissible Békollé weights. The boundedness and compactness of composition operators are characterized in terms of the generalized Nevanlinna counting function associated with the inducing map of the composition operator and the associated weight function of Bergman space. For a special case, we also give the estimate of the essential norm.

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Ajay K. Sharma . Sei-ichiro Ueki. "Composition operators between weighted Bergman spaces with admissible Bekolle weights." Banach J. Math. Anal. 8 (1) 64 - 88, 2014. https://doi.org/10.15352/bjma/1381782088

Information

Published: 2014
First available in Project Euclid: 14 October 2013

zbMATH: 1309.47024
MathSciNet: MR3161683
Digital Object Identifier: 10.15352/bjma/1381782088

Subjects:
Primary: 47B33
Secondary: 30H20

Rights: Copyright © 2014 Tusi Mathematical Research Group

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