J. A. Peláez

activity

20132022

collaborators

7 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.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

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.CV2015

Embedding Bergman spaces into tent spaces