Characterization of weighted Bergman spaces on the open unit ball

Hassanlou, Mostafa; Abbasi, Ebrahim

doi:10.22055/jamm.2026.50379.2403

Characterization of weighted Bergman spaces on the open unit ball

Articles in Press

Document Type : Original Paper

Authors

Mostafa Hassanlou ¹

Ebrahim Abbasi ²

¹ Urmia University

² ‎Department of Mathematics, Mah. C., Islamic Azad University, Mahabad, Iran

10.22055/jamm.2026.50379.2403

Abstract

In In this paper, we characterize the weighted Bergma spaces on the open unit ball of‎

‎$\mathbb{C}^n$. Indeed we find some conditions under which a function belongs to Bergma spaces. This characterization will be done by using double integral of the functions‎

‎$|f(z) -f(w)|/|1-\langle z,w \rangle|$‎

‎and‎

‎$|f(z) -f(w)|/|z -w|$.

Keywords

Characterization

Bergman spaces

Double integral

Euclidean metric

Subjects