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Composition operators on weighted Bergman-Orlicz spaces

Published online by Cambridge University Press:  17 April 2009


Ajay K. Sharma
Affiliation:
Department of Applied Physics and Mathematics, Shri Mata Vaishno Devi University, Jammu–180006, India, e-mail: aksju_76@yahoo.com
S. D. Sharma
Affiliation:
Department of Mathematics, University of Jammu, Jammu–180006, India, e-mail: somdatt_jammu@yahoo.co.in
Corresponding

Extract

In this paper, composition operators acting on Bergman-Orlicz spaces

are studied, where ψ is a non-constant, non-decreasing convex function defined on (-∞, ∞) which satisfies the growth condition . In fact, under a mild condition on ∞, we show that every holomorphic-self map ∞ of induces a bounded composition operator on and C is compact on if and only if it is compact on .


Type
Research Article
Copyright
Copyright © Australian Mathematical Society 2007

References

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