78 citations · 104 across the 15 of their papers we have counts for
4 papers · 1 filter
Bergman projection induced by radial weight
José Ángel Peláez, Jouni Rättyä
The question of when the Bergman projection induced by a radial weight on the unit disc is a bounded operator from one space into another is of primordial importance in t…
Berezin transform and Toeplitz operators on weighted Bergman spaces induced by regular weights
José Ángel Peláez, Jouni Rättyä, Kian Sierra
Given a regular weight and a positive Borel measure on the unit disc , the Toeplitz operator associated with is $$ \mathcal{T}_μ(f)(z)=\int_{\mathbb{D}} f(ζ…
Trace class criteria for Toeplitz and composition operators on small Bergman spaces
José Ángel Peláez, Jouni Rättyä
We characterize the Schatten class Toeplitz operators induced by a positive Borel measure on the unit disc and the reproducing kernel of the Bergman space , where is a r…
Two weight inequality for Bergman projection
José Ángel Peláez, Jouni Rättyä
The motivation of this paper comes from the two weight inequality for the Bergman projection in the unit disc. We s…