6 papers
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…
Approximation numbers of composition operators on the Hardy space of the ball and of the polydisk
Daniel Li, Hervé Queffélec, Luis Rodríguez-Piazza
We give general estimates for the approximation numbers of composition operators on the Hardy space on the ball and the polydisk .
Approximation numbers of composition operators on Hp
Daniel Li, Hervé Queffélec, Luis Rodríguez-Piazza
We give estimates for the approximation numbers of composition operators on the Hp spaces, 1 p \textless{} .