4 papers
On the convolution of convex 2-gons
Martin Chuaqui, Rodrigo Hernández, Adrián Llinares +1
We study the convolution of functions of the form \[ f_α(z) := \dfrac{\left( \frac{1 + z}{1 - z} \right)^α- 1}{2 α}, \] which map the open unit disk of the complex plane onto polyg…
Estimates for truncated area functionals on the Bloch space
Iason Efraimidis, Alejandro Mas, Dragan Vukotić
Recently, Kayumov \cite{K} obtained a sharp estimate for the -th truncated area functional for normalized functions in the Bloch space for and then, together with Wirth…
Invertible and isometric weighted composition operators
Alejandro Mas, Dragan Vukotić
We consider abstract Banach spaces of analytic functions on general bounded domains that satisfy only a minimum number of axioms. We describe all invertible (equivalently, surjecti…
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…