A property of analytic functions with Hadamard gaps-Reference-Cited by-同舟云学术

A property of analytic functions with Hadamard gaps

Published:1992-02 Issue:1 Volume:45 Page:105-112
ISSN:0004-9727
Container-title:Bulletin of the Australian Mathematical Society
language:en
Short-container-title:Bull. Austral. Math. Soc.

Author:

Miao Jie

Abstract

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.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference5 articles.

1. On Bloch functions and normal functions;Anderson;J. Reine Angew. Math.,1974

2. Besov-type characterisations for the Bloch space

3. L p -Behavior of Power Series with Positive Coefficients and Hardy Spaces

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