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Original Articles

A brief note on compactness of composition operators on H2

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Pages 68-77 | Received 08 Mar 2017, Accepted 06 Dec 2017, Published online: 22 Dec 2017
 

ABSTRACT

Let be a univalent (analytic) mapping from the unit disk into itself. Under a certain regularity condition on the bundary of , we show that the composition operator is compact on the Hardy space if and only if

AMS SUBJECT CLASSIFICATIONS:

Acknowledgements

We thank the referees for thoughtful suggestions that have led to an improvement of the exposition of this paper.

Notes

No potential conflict of interest was reported by the authors.

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