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math.CV2012★ 1 cited
Weighted Bergman spaces induced by rapidly incresing weights
José Ángel Peláez, Jouni Rättyä
This monograph is devoted to the study of the weighted Bergman space $A^p_\om$ of the unit disc $\D$ that is induced by a radial continuous weight $\om$ satisfying {equation}\label…
math.CV2012
Jointly maximal products in weighted growth spaces
Janne Gröhn, José Ángel Peláez, Jouni Rättyä
It is shown that for any non-decreasing, continuous and unbounded doubling function $\om$ on , there exist two analytic infinite products and such that the asymp…
math.CV2012
Generalized Hilbert operators on weighted Bergman spaces
José Ángel Peláez, Jouni Rättyä
The main purpose of this paper is to study the generalized Hilbert operator {equation*} \mathcal{H}_g(f)(z)=\int_0^1f(t)g'(tz)\,dt {equation*} acting on the weighted Bergman space…