Álvaro Miguel Moreno

activity

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…