Kian Sierra

activity

20152017

collaborators

3 papers

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

Berezin transform and Toeplitz operators on weighted Bergman spaces induced by regular weights

José Ángel Peláez, Jouni Rättyä, Kian Sierra

Given a regular weight $ω$ and a positive Borel measure $μ$ on the unit disc $D$ , the Toeplitz operator associated with $μ$ is $$ \mathcal{T}_μ(f)(z)=\int_{\mathbb{D}} f(ζ…

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…