Jos'e 'Angel Pel'aez

activity

20232026

collaborators

5 papers

math.CV2026

Improvement of a Hardy-Littlewood inequality and applications to the boundedness of analytic paraproducts on mixed norm spaces

Álvaro Miguel Moreno, José Ángel Peláez

Let $H (D)$ denote the space of analytic functions in the unit disc $D = {z \in C : ∣ z ∣ < 1}$ . For $0 < p < \infty$ and $f \in H (D)$ , let…

math.CV2024

Maximal theorems for weighted analytic tent and mixed norm spaces

Tanausú Aguilar-Hernández, Alejandro Mas, José Ángel Peláez +1

Let $ω$ be a radial weight, $0 < p, q < \infty$ and $Γ (ξ) = {z \in D : ∣ ar g z - ar g ξ ∣ < (∣ ξ ∣ - ∣ z ∣)}$ for $ξ \in D$ . The average radial integrability spac…

math.CV2024

Small Hankel operator induced by measurable symbol acting on weighted Bergman spaces

José Ángel Peláez, Jouni Rättyä

The boundedness of the small Hankel operator $h_{f}^{ω} (g) = P_{ω} (f g)$ induced by a measurable symbol $f$ and the Bergman projection $P_{ω}$ associated to a radial weight $ω$ a…

math.CV2024

Bergman projection induced by radial weight acting on growth spaces

Álvaro Miguel Moreno, José Ángel Peláez, Jari Taskinen

Let $ω$ be a radial weight on the unit disc of the complex plane $D$ and denote $ω_{x} = \int_{0}^{1} s^{x} ω (s) d s$ , $x \geq 0$ , for the moments of $ω$ and $\widehatω(r)=\int_r^1 ω…

math.CV2023

Words of analytic paraproducts on Hardy and weighted Bergman spaces

Alexandru Aleman, Carme Cascante, Joan Fàbrega +2

For a fixed analytic function g on the unit disc, we consider the analytic paraproducts induced by g, which are formally defined by $T_{g} f (z) = \int_{0}^{z} f (ζ) g^{'} (ζ) d ζ$ , $S_gf(z)=\int_0^z…