J. A. Peláez

activity

20132022

most citedEmbedding theorems for Bergman spaces via harmonic analysis

78 citations · 89 across the 8 of their papers we have counts for

collaborators

14 papers

math.CV2022

Volterra-type operators mapping weighted Dirichlet space into $H^{\infty}$

José Ángel Peláez, Jouni Rättyä, Fanglei Wu

The problem of describing the analytic functions $g$ on the unit disc such that the integral operator $T_{g} (f) (z) = \int_{0}^{z} f (ζ) g^{'} (ζ) d ζ$ is bounded (or compact) from a Banach space…

math.CV2021

Composition of analytic paraproducts

Alexandru Aleman, Carme Cascante, Joan Fàbrega +2

For a fixed analytic function $g$ on the unit disc $D$ , we consider the analytic paraproducts induced by $g$ , which are defined by $T_{g} f (z) = \int_{0}^{z} f (ζ) g^{'} (ζ) d ζ$ , $S_gf…

math.CV2019

Harmonic conjugates on Bergman spaces induced by doubling weights

José Ángel Peláez, Jouni Rättyä

A radial weight $ω$ belongs to the class $D$ if there exists $C = C (ω) \geq 1$ such that $\int_{r}^{1} ω (s) d s \leq C \int_{\frac{1 + r}{2}}^{1} ω (s) d s$ for all $0 \leq r < 1$ .…

math.CV2018★ 1 cited

Radial averaging operator acting on Bergman and Lebesgue spaces

Taneli Korhonen, Jose Angel Pelaez, Jouni Rattya

It is shown that the radial averaging operator $T_{ω} (f) (z) = \frac{\int _{∣ z ∣}^{1} f ( s \frac{z}{∣ z ∣} ) ω ( s ) d s}{ω ( z )}, ω (z) = \int_{∣ z ∣}^{1} ω (s) d s,$ induce…

math.CV2018

Radial two weight inequality for maximal Bergman projection induced by a regular weight

Taneli Korhonen, José Ángel Peláez, Jouni Rättyä

It is shown in quantitative terms that the maximal Bergman projection \begin{equation*} P^{+}_ω(f)(z)=\int_\mathbb{D} f(ζ)|B^ω_z(ζ)|ω(ζ)\,dA(ζ), \end{equation*} is bounded from $L^…

math.CV2017

Atomic decomposition and Carleson measures for weighted mixed norm spaces

José Ángel Peláez, Jouni Rättyä, Kian Sierra

The purpose of this paper is to establish an atomic decomposition for functions in the weighted mixed norm space $A_{ω}^{p, q}$ induced by a radial weight $ω$ in the unit disc admitti…

math.FA2016

Littlewood-Paley formulas and Carleson measures for weighted Fock spaces induced by $A_{\infty}$ -type weights

Carme Cascante, Joan Fàbrega, José A. Peláez

We obtain Littlewood-Paley formulas for Fock spaces $F_{β, ω}^{q}$ induced by weights $ω \in A_{\infty}^{r es t r i c t e d} = \cup_{1 \leq p < \infty} A_{p}^{r es t r i c t e d}$ , where $A^{restrict…

math.CV2015

Schatten classes of generalized Hilbert operators

José Ángel Peláez, Daniel Seco

Let $D_{v}$ denote the Dirichlet type space in the unit disc induced by a radial weight $v$ for which $v (r) = \int_{r}^{1} v (s) d s$ satisfies the doubling property $\i…

math.CV2015

Embedding Bergman spaces into tent spaces

José Ángel Peláez, Jouni Rättyä, Kian Sierra

Let $A_{ω}^{p}$ denote the Bergman space in the unit disc $D$ of the complex plane induced by a radial weight $ω$ with the doubling property $\int_{r}^1ω(s)\,ds\le C\int_{\fra…

math.CV2014★ 78 cited

Embedding theorems for Bergman spaces via harmonic analysis

José Ángel Peláez, Jouni Rättyä

Let $A_{ω}^{p}$ denote the Bergman space in the unit disc induced by a radial weight~ $ω$ with the doubling property $\int_{r}^{1} ω (s) d s \leq C \int_{\frac{1 + r}{2}}^{1} ω (s) d s$ . The positiv…

math.FA2013

A generalized Hilbert matrix acting on Hardy spaces

Christos Chatzifountas, Daniel Girela, Jose Angel Pelaez

If $μ$ is a positive Borel measure on the interval $[0, 1)$ , the Hankel matrix $H_{μ} = (μ_{n, k})_{n, k \geq 0}$ with entries $μ_{n, k} = \int_{[0, 1)} t^{n + k} d μ (t)$ induces formall…

math.FA2013★ 6 cited

Boundedness of the Bergman projection on $L^{p}$ spaces with exponential weights

Olivia Constantin, Jose Angel Pelaez

Let $v (r) = exp (- \frac{α}{1 - r})$ with $α > 0$ , and let $D$ be the unit disc in the complex plane. Denote by $A_{v}^{p}$ the subspace of analytic functions of $L^p(\mathb…

math.FA2013★ 4 cited

Integral operators, embedding theorems and a Littlewood-Paley formula on weighted Fock spaces

Olivia Constantin, José Ángel Peláez

We obtain a complete characterization of the entire functions $g$ such that the integral operator $(T_{g} f) (z) = \int_{0}^{z} f (ζ) g^{'} (ζ) d ζ$ is bounded or compact, on a large class…