Noel Merchán

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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)…

math.CV2022

Hilbert-type operator induced by radial weight on Hardy spaces

Noel Merchán, José Angel Peláez, Elena de la Rosa

We consider the Hilbert-type operator defined by $H_{ω} (f) (z) = \int_{0}^{1} f (t) (\frac{1}{z} \int_{0}^{z} B_{t}^{ω} (u) d u) ω (t) d t,$ where ${B_{ζ}^{ω}}_{ζ \in D}$ are the repro…