The problem of estimating the curvature of the level line under conformal mappings of a circle

I. A. Aleksandrov   ; S. A. Kopanev

Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 6 (2013), pp. 5-17

Résumé

A task about finding an exact upper estimate for the curvature of level lines on the class $S$ of univalent holomorphic mappings from a unit circle $S$ is justified as a topical one and its well-known partial solutions for subclasses of mappings from $S$ are presented.

Détail

Keywords: conformal mapping, level line, curvature, method of internal variations.

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