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math.CV2025

Always-convex harmonic shears

Rodrigo Hernández, María J. Martín, Fernando Pérez-González +1

We determine completely the analytic functions in the unit disk such that for all (normalized) orientation-preserving harmonic mappings produced b…

math.CV2023

Norm inequalities for weighted Dirichlet spaces with applications to conformal maps

Fernando Pérez-González, Jouni Rättyä, Toni Vesikko

A variety of norm inequalities related to Bergman and Dirichlet spaces induced by radial weights are considered. Some of the results obtained can be considered as generalizations o…