31 citations · 70 across the 8 of their papers we have counts for
7 papers · 1 filter
Harmonic Schwarzian derivative and methods of approximation of zeros
María J. Martín
We review the relation between the classical formulas of the pre-Schwarzian and Schwarzian derivatives of locally univalent analytic functions and the derivatives of the generating…
Ahlfors-Weill extensions for harmonic mappings
Iason Efraimidis, Rodrigo Hernández, María J. Martín
We provide two new formulas for quasiconformal extension to for harmonic mappings defined in the unit disk and having sufficiently small Schwarzian derivati…
Co-isometric weighted composition operators on Hilbert spaces of analytic functions
María J. Martín, Alejandro Mas, Dragan Vukotić
We obtain a necessary and sufficient condition for a weighted composition operator to be co-isometric on a general weighted Hardy space of analytic functions in the unit disk whose…
On the harmonic Möbius transformations
Rodrigo Hernández, María J. Martín
It is well-known that two locally univalent analytic functions and have equal Schwarzian derivative if and only if there exists a non-constant Möbius transformation suc…
On univalent polynomials with critical points on the unit circle
María J. Martín, Dragan Vukotić
Brannan showed that a normalized univalent polynomial of the form is starlike if and only if . We give…
Generalized harmonic Koebe functions
Álvaro Ferrada-Salas, María J. Martín
We present a family of sense-preserving harmonic mappings in the unit disk related to the classical generalized (analytic) Koebe functions. We prove that these are precisely the ma…
The Krzyż conjecture revisited
María J. Martín, Eric T. Sawyer, Ignacio Uriarte-Tuero +1
The Krzyż conjecture concerns the largest values of the Taylor coefficients of a non-vanishing analytic function bounded by one in modulus in the unit disk. It has been open since…