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Small Hankel operator induced by measurable symbol acting on weighted Bergman spaces
José Ángel Peláez, Jouni Rättyä
The boundedness of the small Hankel operator induced by a measurable symbol and the Bergman projection associated to a radial weight a…
Carleson measures for weighted Bergman--Zygmund spaces
Hong Rae Cho, Hyungwoon Koo, Young Joo Lee +3
For , and a finite positive Borel measure on the unit disc , the Lebesgue--Zygmund space consists of all measura…
Integral means of derivatives of univalent functions in Hardy spaces
Fernando Pérez-González, Jouni Rättyä, Toni Vesikko
We show that the norm in the Hardy space satisfies \begin{equation}\label{absteq} \|f\|_{H^p}^p\asymp\int_0^1M_q^p(r,f')(1-r)^{p\left(1-\frac1q\right)}\,dr+|f(0)|^p\tag† \end…
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…
Growth estimates for meromorphic solutions of higher order algebraic differential equations
Shamil Makhmutov, Jouni Rättyä, Toni Vesikko
We establish pointwise growth estimates for the spherical derivative of solutions of the first order algebraic differential equations. A generalization of this result to higher ord…
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…