EN
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
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.
References
- 1] B. Berndtsson, The extension theorem of Ohsawa–Takegoshi and the theorem of Donnelly–Fefferman, Ann. Inst. Fourier 45 (3), 825–843, 1995.
Details
Primary Language
English
Subjects
Real and Complex Functions (Incl. Several Variables)
Journal Section
Research Article
Authors
Early Pub Date
May 18, 2026
Publication Date
-
Submission Date
January 3, 2026
Acceptance Date
March 15, 2026
Published in Issue
Year 2026 Number: Advanced Online Publication
APA
Sönmez, S. Y., & Göğüş, N. G. (2026). Carleson-Type Measures and Kernel Estimates for Potential–Harmonic Weighted Bergman Spaces on the Unit Ball. Hacettepe Journal of Mathematics and Statistics, Advanced Online Publication. https://doi.org/10.15672/hujms.1855591
AMA
1.Sönmez SY, Göğüş NG. Carleson-Type Measures and Kernel Estimates for Potential–Harmonic Weighted Bergman Spaces on the Unit Ball. Hacettepe Journal of Mathematics and Statistics. 2026;(Advanced Online Publication). doi:10.15672/hujms.1855591
Chicago
Sönmez, Sinem Yelda, and Nihat Gökhan Göğüş. 2026. “Carleson-Type Measures and Kernel Estimates for Potential–Harmonic Weighted Bergman Spaces on the Unit Ball”. Hacettepe Journal of Mathematics and Statistics, no. Advanced Online Publication. https://doi.org/10.15672/hujms.1855591.
EndNote
Sönmez SY, Göğüş NG (May 1, 2026) Carleson-Type Measures and Kernel Estimates for Potential–Harmonic Weighted Bergman Spaces on the Unit Ball. Hacettepe Journal of Mathematics and Statistics Advanced Online Publication
IEEE
[1]S. Y. Sönmez and N. G. Göğüş, “Carleson-Type Measures and Kernel Estimates for Potential–Harmonic Weighted Bergman Spaces on the Unit Ball”, Hacettepe Journal of Mathematics and Statistics, no. Advanced Online Publication, May 2026, doi: 10.15672/hujms.1855591.
ISNAD
Sönmez, Sinem Yelda - Göğüş, Nihat Gökhan. “Carleson-Type Measures and Kernel Estimates for Potential–Harmonic Weighted Bergman Spaces on the Unit Ball”. Hacettepe Journal of Mathematics and Statistics. Advanced Online Publication (May 1, 2026). https://doi.org/10.15672/hujms.1855591.
JAMA
1.Sönmez SY, Göğüş NG. Carleson-Type Measures and Kernel Estimates for Potential–Harmonic Weighted Bergman Spaces on the Unit Ball. Hacettepe Journal of Mathematics and Statistics. 2026. doi:10.15672/hujms.1855591.
MLA
Sönmez, Sinem Yelda, and Nihat Gökhan Göğüş. “Carleson-Type Measures and Kernel Estimates for Potential–Harmonic Weighted Bergman Spaces on the Unit Ball”. Hacettepe Journal of Mathematics and Statistics, no. Advanced Online Publication, May 2026, doi:10.15672/hujms.1855591.
Vancouver
1.Sinem Yelda Sönmez, Nihat Gökhan Göğüş. Carleson-Type Measures and Kernel Estimates for Potential–Harmonic Weighted Bergman Spaces on the Unit Ball. Hacettepe Journal of Mathematics and Statistics. 2026 May 1;(Advanced Online Publication). doi:10.15672/hujms.1855591