Carlos G'omez-Cabello

collaborators

3 papers

math.CV2025

On frequencies of parabolic Koenigs domains

Carlos GÃ³mez-Cabello, Carlos Gómez-Cabello, F. Javier GonzÃ¡lez-DoÃ±a +1

Let $(φ_{t})_{t \geq 0}$ be a parabolic semigroup of analytic functions on $D$ , with Koenigs function $h$ and Koenigs domain $Ω = h (D)$ . We study the point spectrum $…

math.FA2024

Volterra operator acting on Bergman spaces of Dirichlet series

Carlos GÃ³mez-Cabello, Pascal LefÃ¨vre, HervÃ© QueffÃ©lec

Since their introduction in 1997, the Hardy spaces of Dirichlet series have been broadly and deeply studied. The increasing interest sparked by these Banach spaces of Dirichlet ser…

math.CV2024

On the uniform convergence of continuous semigroups

Manuel D. Contreras, Carlos GÃ³mez-Cabello, Luis RodrÃguez-Piazza

Let $I^c ◯$ be a region in the complex plane $C$ and let ${I^¦_{t}}_{t \geq 0}$ be a continuous semigroup of functions on $I^c ◯$ ; that is, $I^¦_{t} : I^c ◯ \to I^c ◯$ is holomorphic for every…