José Ángel Peláez

activity

20222025

collaborators

5 papers

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.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…

math.CV2023

Bergman projection on Lebesgue space induced by doubling weight

José Ángel Peláez, Elena de la Rosa, Jouni Rättyä

Let $ω$ and $ν$ be radial weights on the unit disc of the complex plane, and denote $σ = ω^{p^{'}} ν^{- \frac{p ^{'}}{p}}$ and $ω_{x} = \int_{0}^{1} s^{x} ω (s) d s$ for all $1 \leq x < \infty$ . Consider the…

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…

math.CV2022

Bergman projection and BMO in hyperbolic metric -- improvement of classical result

José Ángel Peláez, Jouni Rättyä

The Bergman projection $P_{α}$ , induced by a standard radial weight, is bounded and onto from $L^{\infty}$ to the Bloch space $B$ . However, $P_{α} : L^{\infty} \to B$ is…