3 papers
math.FA2020
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…
math.FA2020
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…
math.CV2017
Norming sets on a compact complex manifold
Tanausu Aguilar-Hernandez
We describe the norming sets for the space of global holomorphic sections to a -power of a positive holomorphic line bundle on a compact complex manifold . We characterize in…