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One weight inequality for Bergman projection and Calderón operator induced by radial weight
Francisco J. Martín Reyes, Pedro Ortega, José Ángel Peláez +1
Let and be radial weights on the unit disc of the complex plane such that admits the doubling property $\sup_{0\le r<1}\frac{\int_r^1 ω(s)\,ds}{\int_{\frac{1+r}{2}}^1 ω…
Integral operators induced by symbols with non-negative Maclaurin coefficients mapping into
José Ángel Peláez, Jouni Rättyä, Fanglei Wu
For analytic functions on the unit disc with non-negative Maclaurin coefficients, we describe the boundedness and compactness of the integral operator $T_g(f)(z)=\int_0^zf(ζ)g'…
Hankel operators induced by radial Bekollé-Bonami weights on Bergman spaces
José Ángel Peláez, Antti Perälä, Jouni Rättyä
We study big Hankel operators generated by radial Bekollé-Bonami weights , when . Here the radial weight is assumed to satisfy a two…
Small Hankel operators on generalized Fock spaces
Carme Cascante, Joan Fàbrega, Daniel Pascuas +1
We consider Fock spaces of entire functions on associated to the weights , where and is a positive integer. We compute…
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…
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…