Carleson-Type Measures and Kernel Estimates for Potential-Harmonic Weighted Bergman Spaces on the Unit Ball
Complex Variables
2026-05-26 v3
Abstract
In this paper, weighted Bergman spaces on the unit ball in C^n are investigated. A characterization of the Carleson embeddings is established. Pointwise and norm estimates on the reproducing kernel function of weighted Bergman spaces on the unit ball are proved.
Cite
@article{arxiv.2603.14993,
title = {Carleson-Type Measures and Kernel Estimates for Potential-Harmonic Weighted Bergman Spaces on the Unit Ball},
author = {Nihat Gökhan Göğüş and Sinem Yelda Sönmez},
journal= {arXiv preprint arXiv:2603.14993},
year = {2026}
}
Comments
21 pages. Accepted for publication in Hacettepe Journal of Mathematics and Statistics on March 15, 2026