Multi-point bounds for analytic functions under measure conditions

Author: Cleanthous Galatia   Georgiadis Athanasios G.  

Publisher: Taylor & Francis Ltd

E-ISSN: 1747-6941|60|4|470-477

ISSN: 1747-6933

Source: Complex Variables and Elliptic Equations, Vol.60, Iss.4, 2015-04, pp. : 470-477

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Abstract

Let be an analytic function on the unit disc with image satisfying a measure condition. We prove an upper and a lower bound for the modulus for every involving all the pre-images of