Growth theorems on classes of normalized locally quasiconformal mappings
Journal Title: Проблемы анализа-Issues of Analysis - Year 2013, Vol 2, Issue 2
Abstract
В классах локально-квазиконформных нормированных автоморфизмов f единичного круга Δ с заданной мажорантой характеристики М. А. Лаврентьева получены асимптотически точные оценки |f(z)|, родственные классическому неравенству А. Мори. The asymptotic sharp growth theorems are proved in the classes of normalized locally quasiconformal automorphisms of the unit disk with the given majorant of the Laurentev's characteristic. The main results are obtained by the means of the methods of extremal lengths, symmetrization and some new method of estimation of distortion of modules of double connected domains under the locally quasiconformal mappings.
Authors and Affiliations
S. U. Graf
Keywords
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- EP ID EP234557
- DOI 10.15393/j3.art.2013.2381
- Views 90
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