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Besov-type characterisations for the Bloch space

Published online by Cambridge University Press:  17 April 2009

Karel Stroethoff
Karel Stroethoff
Affiliation:
Department of Mathematical Sciences, University of Montana, Missoula, Montana 59801, United States of America.
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Abstract

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We will prove local and global Besov-type characterisations for the Bloch space and the little Bloch space. As a special case we obtain that the Bloch space consists of those analytic functions on the unit disc whose restrictions to pseudo-hyperbolic discs (of fixed pseudo-hyperbolic radius) uniformly belong to the Besov space. We also generalise the results to Bloch functions and little Bloch functions on the unit ball in . Finally we discuss the related spaces BMOA and VMOA.

Information

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 39 , Issue 3 , June 1989 , pp. 405 - 420
Copyright
Copyright © Australian Mathematical Society 1989

References

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