Sharp bounds for the growth and distortion of the analytic part of convex harmonic functions

Published 7 May 2025 in math.CV | (2505.04319v1)

Abstract: We obtain the sharp upper and lower bounds for the growth and distortion of the analytic parts $h$ of orientation-preserving harmonic mappings $f=h+\overline g$ (normalized in the standard way) that map the unit disk onto a convex domain.

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Authors (1)

María J. Martín

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