Carleson-type measures and kernel estimates for potential–harmonic weighted bergman spaces on the unit ball

Abstract

In this paper, weighted Bergman spaces on the unit ball in $\mathbb{C}^n$ 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.

Keywords

• Bergman spaces
• Carleson measures
• kernel estimate

Supporting Institution

Sabancı University, Altınbaș University, University of Helsinki.

Ethical Statement

Not applicable.

Thanks

This research was funded by a TUBITAK project with project number 118F405.

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