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THE GRUNSKY NORM AND SOME COEFFICIENT ESTIMATES FOR BOUNDED FUNCTIONS

Published online by Cambridge University Press:  01 November 1997

A. Z. GRINSHPAN  and
CH. POMMERENKE
A. Z. GRINSHPAN
Affiliation:
Department of Mathematics, University of South Florida, Tampa, FL 33620, USA
CH. POMMERENKE
Affiliation:
Sekr. MA 8-2, Technische Universität, D-10623 Berlin, Germany
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Abstract

We estimate the growth order in n of the Taylor coefficients of bounded univalent functions in the unit disk. Our estimate depends on the norm of the Grunsky operator. In particular, we improve the known results for coefficients of quasiconformally extendible univalent functions.

Type
Research Article
Information
Bulletin of the London Mathematical Society , Volume 29 , Issue 6 , November 1997 , pp. 705 - 712
Copyright
© The London Mathematical Society 1997

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