Another Look at Average Formulas of Nevanlinna Counting Functions of Holomorphic Self-maps of the Unit Disk

• Journal title : Kyungpook mathematical journal
• Volume 48, Issue 1,  2008, pp.155-163
• Publisher : Department of Mathematics, Kyungpook National University
• DOI : 10.5666/KMJ.2008.48.1.155
Title & Authors
Another Look at Average Formulas of Nevanlinna Counting Functions of Holomorphic Self-maps of the Unit Disk
Kim, Hong-Oh;

Abstract
This is an extended version of the paper [K] of the author. The average formulas on the circles and disks around arbitrary points of Nevanlinna counting functions of holomorphic self-maps of the unit disk, given in terms of the boundary values of the selfmaps, are shown to give another characterization of the whole class or a special subclass of inner functions in terms of Nevanlinna counting function in addition to the previous applications to Rudin`s orthogonal functions.
Keywords
Nevanlinna counting function;inner function;sub-averaging property;orthogonal function;
Language
English
Cited by
1.
Nevanlinna counting function and Carleson function of analytic maps, Mathematische Annalen, 2011, 351, 2, 305
2.
Complete Nevanlinna counting functions of boundary-preserving Nevanlinna functions, Complex Variables and Elliptic Equations, 2015, 60, 1, 118
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