8 papers · 1 filter
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…
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…
An extremal composition operator on the Hardy space of the bidisk with small approximation numbers
Daniel Li, Hervé Queffélec, Luis Rodríguez-Piazza
We construct an analytic self-map of the bidisk whose image touches the distinguished boundary, but whose approximation numbers of the associated composition op…
Entropy numbers and spectral radius type formula for composition operators on the polydisk
Daniel Li, Hervé Queffélec, Luis Rodríguez-Piazza
We give estimates of the entropy numbers of composition operators on the Hardy space of the disk and of the polydisk.
Composition operators with surjective symbol and small approximation numbers
Daniel Li, Hervé Queffélec, Luis Rodríguez-Piazza
We give a new proof of the existence of a surjective symbol whose associated composition operator on H 2 (D) is in all Schatten classes, with the improvement that its approximation…
Pluricapacity and approximation numbers of composition operators
Daniel Li, Hervé Queffélec, Luis Rodríguez-Piazza +1
For suitable bounded hyperconvex sets in , in particular the ball or the polydisk, we give estimates for the approximation numbers of composition operators $C_ϕ\c…