Jouni Rättyä

activity

20142022

most citedEmbedding theorems for Bergman spaces via harmonic analysis

78 citations · 81 across the 4 of their papers we have counts for

collaborators

5 papers

math.CV2024

Small Hankel operator induced by measurable symbol acting on weighted Bergman spaces

José Ángel Peláez, Jouni Rättyä

The boundedness of the small Hankel operator $h_{f}^{ω} (g) = P_{ω} (f g)$ induced by a measurable symbol $f$ and the Bergman projection $P_{ω}$ associated to a radial weight $ω$ a…

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…

math.FA2020★ 3 cited

Compact Differences of Weighted Composition Operators

Bin Liu, Jouni Rättyä

Compact differences of two weighted composition operators acting from the weighted Bergman space $A_{ω}^{p}$ to another weighted Bergman space $A_{ν}^{q}$ , where $0 < p \leq q < \infty$ and $ω,ν…

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.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…