Sharp bounds for the growth and distortion of the analytic part of convex harmonic functions
Complex Variables
2025-05-08 v1
Abstract
We obtain the sharp upper and lower bounds for the growth and distortion of the analytic parts of orientation-preserving harmonic mappings (normalized in the standard way) that map the unit disk onto a convex domain.
Cite
@article{arxiv.2505.04319,
title = {Sharp bounds for the growth and distortion of the analytic part of convex harmonic functions},
author = {María J. Martín},
journal= {arXiv preprint arXiv:2505.04319},
year = {2025}
}