ON THE SCHWARZIAN NORM OF HARMONIC MAPPINGS

We obtain estimations of the pre-Schwarzian and Schwarzian derivatives in terms of the order of family in linear and affine invariant families L of sense preserving harmonic mappings of the unit disk D. As the converse result the order of family L is estimated in terms of suprema of Schwarzian and p...

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Bibliographic Details
Main Author: S. Yu. Graf
Format: Article
Language:English
Published: Petrozavodsk State University 2016-12-01
Series:Проблемы анализа
Subjects:
Online Access:http://issuesofanalysis.petrsu.ru/article/genpdf.php?id=3511