Atte Pennanen

activity

20242026

collaborators

3 papers

math.CV2026

Cesàro operator induced by a Bergman kernel

Oscar Blasco, Atte Pennanen

Let $μ$ be a positive Borel measure on $[0, 1)$ and $ω$ a radial weight. In this paper we consider the Cesàro-type operator $C_{μ, ω}$ induced by the reproducing kernel $B^{ω}$ of the…

math.CV2025

Embedding theorems for Bergman-Zygmund spaces induced by doubling weights

Atte Pennanen

Let $0 < p < \infty$ and $Ψ : [0, 1) \to (0, \infty)$ , and let $μ$ be a finite positive Borel measure on the unit disc $D$ of the complex plane. We define the Lebesgue-Zygmund sp…

math.CV2024

Carleson measures for weighted Bergman--Zygmund spaces

Hong Rae Cho, Hyungwoon Koo, Young Joo Lee +3

For $0 < p < \infty$ , $Ψ : [0, \infty) \to (0, \infty)$ and a finite positive Borel measure $μ$ on the unit disc $D$ , the Lebesgue--Zygmund space $L_{μ, Ψ}^{p}$ consists of all measura…