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Derivative-free characterizations of Qk spaces

Part of: Spaces and algebras of analytic functions Linear function spaces and their duals

Published online by Cambridge University Press:  09 April 2009

Hasi Wulan  and
Kehe Zhu
Hasi Wulan
Affiliation:
Department of Mathematics Shantou UniversityShantouChina e-mail: wulan@stu.edu.cn
Kehe Zhu
Affiliation:
Department of Mathematics SUNY Albany, NY 12222USA and Department of Mathematics Shantou UniveristyShantouChina e-mail: kzhu@math.albany.edu
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Abstract

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We give two charaterizations of the Möbius invariant QK spaces, one in terms of a double integral and the other in terms of the mean oscillation in the Bergman metric. Both charaterizations avoid the use of derivatives. Our results are new even in the case of Qp.

MSC classification

Secondary: 30H05: Bounded analytic functions 46E15: Banach spaces of continuous, differentiable or analytic functions
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 82 , Issue 2 , April 2007 , pp. 283 - 295
Copyright
Copyright © Australian Mathematical Society 2007

References

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