Radial variation of analytic functions with non-tangential boundary limits almost everywhere
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Published:1990-09
Issue:2
Volume:108
Page:371-379
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ISSN:0305-0041
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Container-title:Mathematical Proceedings of the Cambridge Philosophical Society
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language:en
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Short-container-title:Math. Proc. Camb. Phil. Soc.
Author:
Hallenbeck D. J.,Samotij K.
Abstract
The purpose of this paper is to investigate the asymptotic behaviour as r → 1− of the integralsand f is an analytic function on the unit disk Δ which has non-tangential limits at almost every point on ∂Δ. The paper is divided into three parts. In the first part we consider the case where λ ≠ 1/k, in the second the somewhat more delicate case when λ = 1/k and in the third part we concentrate on some problems related to the case λ = k = 1.
Publisher
Cambridge University Press (CUP)
Subject
General Mathematics
Reference9 articles.
1. Functions Starlike and Convex of Order α
2. [4] Hallenbeck D. J. and Samotij K. . On radial variation of holomorphic functions with lp Taylor coefficients. (To appear.)
3. Radial growth and variation of Dirichlet finite holomorphic functions in the disk;Hallenbeck;Colloq. Math.
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