Jos'e 'Angel Pel'aez

collaborators

4 papers

math.CV2026

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

Ãlvaro Miguel Moreno, JosÃ© Ãngel PelÃ¡ez

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

TanausÃº Aguilar-HernÃ¡ndez, Alejandro Mas, JosÃ© Ãngel PelÃ¡ez +1

Let $I ¨ $ be a radial weight, $0 < p, q < \infty$ and $I^ (I^¾) = {z \in D : ∣ ar g z - ar g I^¾∣ < (∣ I^¾∣ - ∣ z ∣)}$ for $I^¾ \in D$ . The average radial integrabilit…

math.CV2024

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

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

math.CV2024

Bergman projection induced by radial weight acting on growth spaces

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