ON THE SCHWARZIAN NORM OF HARMONIC MAPPINGS
Journal Title: Проблемы анализа-Issues of Analysis - Year 2016, Vol 5, Issue 2
Abstract
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 pre-Schwarzian norms over the family L. Main results are obtained by means of theory of linear invariant families.
Authors and Affiliations
S. Yu. Graf
Keywords
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- EP ID EP225107
- DOI 10.15393/j3.art.2016.3511
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