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A property of analytic functions with Hadamard gaps

Published online by Cambridge University Press:  17 April 2009

Jie Miao
Jie Miao
Affiliation:
Department of Mathematics, Hangzhou University, Hangzhou, Zhejiang Peoples, Republic of China
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Abstract

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In this paper we obtain a sufficient and necessary condition for an analytic function f on D with Hadamard gaps, that is, for satisfying nk+1/nk ≥ λ 1 for all k, to belong to a kind of space consisting of analytic functions on D. The special cases of these spaces are BMOA and VMOA. In view of our result we can answer the open question given recently by Stroethoff.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 45 , Issue 1 , February 1992 , pp. 105 - 112
Copyright
Copyright © Australian Mathematical Society 1992

References

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