Álvaro Miguel Moreno

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20232025

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math.CV2025

Duality of mixed norm spaces induced by radial one-sided doubling weight

Álvaro Miguel Moreno, José Ángel Peláez

For $0 < p, q < \infty$ and $ω$ a radial weight, the space $L_{ω}^{p, q}$ consists of complex-valued measurable functions $f$ on the unit disk such that $$ \| f\|_{L^{p,q}_ω}^q = \int_0^1…

math.CV2025

Fractional Volterra-type operator induced by radial weight acting on Hardy space

Carlo Bellavita, Álvaro Miguel Moreno, Georgios Nikolaidis +1

Given a radial doubling weight $μ$ on the unit disc $D$ of the complex plane and its odd moments $μ_{2 n + 1} = \int_{0}^{1} s^{2 n + 1} μ (s) d s$ , we consider the fractional derivati…

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

Fractional derivative description of the Bloch space

Álvaro Miguel Moreno, José Ángel Peláez, Elena de la Rosa

We establish new characterizations of the Bloch space $B$ which include descriptions in terms of classical fractional derivatives. Being precise, for an analytic function…