University of Eastern Finland

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20082026

most citedSelective metal deposition at graphene line defects by atomic layer deposition

306 citations

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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★ 4 cited

Generalized Hilbert matrix operators acting on Bergman spaces

Carlo Bellavita, Vassilis Daskalogiannis, Santeri Miihkinen +3

In this article we study the generalized Hilbert matrix operator $Γ_{μ}$ acting on the Bergman spaces $A^{p}$ of the unit disc for $1 \leq p < \infty$ . In particular, we characterize the…

math.CV2020

Asymptotic integration theory for $f^{''} + P (z) f = 0$

Gary G. Gundersen, Janne Heittokangas, Amine Zemirni

Asymptotic integration theory gives a collection of results which provide a thorough description of the asymptotic growth and zero distribution of solutions of (*) $f^{''} + P (z) f = 0$ ,…

math.CV2020

On Petrenko's deviations and second order differential equations

J. Heittokangas, M. A. Zemirni

New results on the oscillation of solutions of $f^{''} + A (z) f = 0$ and on the growth of solutions of $f^{''} + A (z) f^{'} + B (z) f = 0$ are obtained, where $A$ and $B$ are entire functions. Petrenko's…

math.CV2017

On Becker's univalence criterion

Juha-Matti Huusko, Toni Vesikko

We study locally univalent functions $f$ analytic in the unit disc $D$ of the complex plane such that $∣ f " (z) / f^{'} (z) ∣ (1 - ∣ z ∣^{2}) \leq 1 + C (1 - ∣ z ∣)$ holds for all $z\in\mathbb{…

math.CV2017

Vanishing Bergman kernels on the disk

Antti Perälä

We discuss topics related to zeroes of the Bergman kernels, and present a method for generating Bergman kernels with arbitrarily, but finitely, many zeroes. It is also shown that a…