Antti Rasila

collaborators

4 papers

math.CV2026

Zygmund type spaces of harmonic functions on the real unit ball

Xi Fu, Antti Rasila, Xiaoqiang Xie

In this paper, we obtain several characterizations of harmonic Zygmund type spaces on the real unit ball $B$ of $R^{n}$ . First, we characterize the harmonic Zygmund…

math.CV2026

Properties for ( $I^\pm, I^^{2}$ )-harmonic functions

Jinjing Qiao, Jiale Chang, Antti Rasila

We investigate properties of ( $I^\pm, I^^{2}$ )-harmonic functions. First, we discuss the coefficient estimates for ( $I^\pm, I^^{2}$ )-harmonic functions. In particular, we obtain Heinz's inequality…

math.FA2026

Applications of Reproducing Kernels in composition operators

Preeti Kumari, P. Muthukumar, Antti Rasila

In this paper, we illustrate the effectiveness of reproducing kernel Hilbert space techniques in the study of composition operators. For weighted Hardy spaces on the unit disk, we…

math.FA2025

A class of linear operators on Bergman spaces

Zengjian Lou, Antti Rasila, Senhua Zhu

We study the boundedness of the linear operator $S$ on $L_{a}^{p} (d A_{I^} \pm)$ $(0 < p < \infty)$ . In particular, we obtain a sufficient and necessary condition for the compactness of the l…

Zygmund type spaces of harmonic functions on the real unit ball

Properties for (I^±,I^2)-harmonic functions

Applications of Reproducing Kernels in composition operators

A class of linear operators on Bergman spaces

Properties for ( $I^\pm, I^^{2}$ )-harmonic functions