Abstract
Letbe regular in U = {|z| < 1}. Suppose that the values of f(z) all lie in a domain D in the w-plane. If certain geometrical restrictions are made on D we can deduce growth conditions on the maximum modulusthe meansand the coefficients αn. Good bounds for M(r, f) have been obtained under various conditions on D.
Publisher
Cambridge University Press (CUP)
Cited by
14 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献
1. On a Property of Harmonic Measure on Simply Connected Domains;Canadian Journal of Mathematics;2019-11-22
2. Geometric Theorems and Problems for Harmonic Measure;Rocky Mountain Journal of Mathematics;2001-09-01
3. References;Subharmonic Functions;1989
4. Modulus of continuity of harmonic functions;Journal d'Analyse Mathématique;1988-12
5. Ahlfors and conformal invariants;Annales Academiae Scientiarum Fennicae. Series A. I. Mathematica;1988