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math.CV2016
Criteria for bounded valence of harmonic mappings
Juha-Matti Huusko, María J. Martín
In 1984, Gehring and Pommerenke proved that if the Schwarzian derivative of a locally univalent analytic function in the unit disk satisfies that $\limsup_{|z|\to 1} |S(…
math.CV2016★ 2 cited
On weighted compositions preserving the Carathéodory class
Irina Arévalo, Rodrigo Hernández, María J. Martín +1
We characterize in various ways the weighted composition transformations which preserve the class of normalized analytic functions in the disk with positive real par…