Carleson-Type Measures and Kernel Estimates for Potential–Harmonic Weighted Bergman Spaces on the Unit Ball

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.

Authors

Institutions

Publication Details

Journal
Hacettepe Journal of Mathematics and Statistics
Published
2026-05-18
DOI
https://doi.org/10.15672/hujms.1855591
Primary Topic
Holomorphic and Operator Theory
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Carleson-Type Measures and Kernel Estimates for Potential–Harmonic Weighted Bergman Spaces on the Unit Ball

Sinem Yelda Sönmez, Nihat Gökhan Göğüş
Hacettepe Journal of Mathematics and Statistics
Holomorphic and Operator Theory
article

Carleson-Type Measures and Kernel Estimates for Potential–Harmonic Weighted Bergman Spaces on the Unit Ball

Sinem Yelda Sönmez, Nihat Gökhan Göğüş
article en

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.

Hacettepe Journal of Mathematics and Statistics(Advanced Online Publication)
University of Helsinki (FI), Sabancı Üniversitesi (TR)
Openalex Percentile: Top 3%
Holomorphic and Operator Theory
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.