Radial variation of analytic functions with non-tangential boundary limits almost everywhere
Published online by Cambridge University Press: 24 October 2008
Extract
The purpose of this paper is to investigate the asymptotic behaviour as r → 1− of the integrals
and 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.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 108 , Issue 2 , September 1990 , pp. 371 - 379
- Copyright
- Copyright © Cambridge Philosophical Society 1990
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