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Journals / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 55 Issue: 5

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

Nihat Gökhan Göğüş(SABANCI ÜNİVERSİTESİ)0000-0003-1966-8409
Sinem Yelda Sönmez(University of Helsinki)0000-0003-1997-8618
Pages
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Publication Date
2026-10-28
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Pointwise and norm estimates on the reproducing kernel function of weighted Bergman spaces on the unit ball are proved.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, weighted Bergman spaces on the unit ball in $\mathbb{C}^n$ are investigated.
📊
Key Findings & Data:A characterization of the Carleson embeddings is established.
💡
Conclusion & Impact:Pointwise and norm estimates on the reproducing kernel function of weighted Bergman spaces on the unit ball are proved.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Bergman spaces · Carleson measures · kernel estimate

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.

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Cite This Article

Göğüş, N. G., Sönmez, S. Y. (2026). Carleson-type measures and kernel estimates for potential–harmonic weighted bergman spaces on the unit ball. Hacettepe Journal of Mathematics and Statistics, Volume: 55 Issue: 5. https://doi.org/10.15672/hujms.1855591

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