Alejandro Mas

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math.CV2025

Cesàro-type operators on mixed norm spaces

Óscar Blasco, Alejandro Mas

Given a positive Borel measure $μ$ on $[0, 1)$ and a parameter $β > 0$ , we consider the Cesàro-type operator $C_{μ, β}$ acting on the analytic function $f(z)=\sum_{n=0}^\infty…

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

Generalized Cesàro operator acting on Hilbert spaces of analytic functions

Alejandro Mas, Noel Merchán, Elena de la Rosa

Let $D$ denote the unit disc in $C$ . We define the generalized Cesàro operator as follows $$ C_ω(f)(z)=\int_0^1 f(tz)\left(\frac{1}{z}\int_0^z B^ω_t(u)\,du\right)…