21 citations · 89 across the 25 of their papers we have counts for
32 papers
On the uniform convergence of continuous semigroups
Manuel D. Contreras, Carlos Gómez-Cabello, Luis Rodríguez-Piazza
Let be a region in the complex plane and let be a continuous semigroup of functions on ; that is, is holomorphic for every $t\ge…
Semigroups of composition operators on Hardy spaces of Dirichlet series
Manuel D. Contreras, Carlos Gómez-Cabello, Luis Rodríguez-Piazza
We consider continuous semigroups of analytic functions in the so-called Gordon-Hedenmalm class , that is, the family of analytic functions $Φ:\math…
Angular extents and trajectory slopes in the theory of holomorphic semigroups in the unit disk
Manuel D. Contreras, Santiago Díaz-Madrigal, Pavel Gumenyuk
We study relationships between the asymptotic behaviour of a non-elliptic semigroup of holomorphic self-maps of the unit disk and the geometry of its planar domain (the image of th…
Integration operators in average radial integrability spaces of analytic functions
Tanausú Aguilar-Hernández, Manuel D. Contreras, Luis Rodríguez-Piazza
In this paper we characterize the boundedness, compactness, and weak compactness of the integration operators \begin{align*} T_g (f)(z)=\int_{0}^{z} f(w)g'(w)\ dw \end{align*} acti…
Infinitesimal generators of semigroups with prescribed boundary fixed points
Manuel D. Contreras, Santiago Díaz-Madrigal, Pavel Gumenyuk
We study infinitesimal generators of one-parameter semigroups in the unit disk having prescribed boundary regular fixed points. Using an explicit representation of such…
Average radial integrability spaces of analytic functions
Tanausu Aguilar-Hernandez, Manuel D. Contreras, Luis Rodriguez-Piazza
In this paper we introduce the family of spaces , . They are spaces of holomorphic functions in the unit disc with average radial integrability. Thi…