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Extension of a Theorem of Zygmund*

Published online by Cambridge University Press:  14 November 2011

Jie Xiao
Jie Xiao
Affiliation:
Department of Mathematics, Peking University, Beijing 100871, China Email: jxiao@sxxO.math.pku.edu.cn
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Abstract

We extend Zygmund's Theorem characterising the Bloch functions via a generalised Libera transform and so we answer an open problem formulated by N. Danikas, S. Ruscheweyh and A. Siskakis. Furthermore, we show some differences between the holomorphic Zygmund class and the class of holomorphic functions whose derivatives are of logarithmic growth on the unit disk.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 128 , Issue 2 , 1998 , pp. 425 - 432
Copyright
Copyright © Royal Society of Edinburgh 1998

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References

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