Abstract
In linear- and affine-invariant families of harmonic mappings of the unit disk we prove some differential inequalities such as the sharp two-sided estimate of the Jacobian and an estimate of the curvature of the image of the circle.
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Original Russian Text © S.Yu. Graf and O.R. Eyelangoli, 2010, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2010, No. 10, pp. 69–72.
Submitted by L. A. Aksent’ev
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Graf, S.Y., Eyelangoli, O.R. Differential inequalities in linear- and affine-invariant families of harmonic mappings. Russ Math. 54, 60–62 (2010). https://doi.org/10.3103/S1066369X10100075
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DOI: https://doi.org/10.3103/S1066369X10100075