Pseudo-Carleson measures for vector-valued weighted Bergman space of the unit ball

Inspired by Xiao's work on pseudo-Carleson measures for Bergman spaces, we introduce pseudo-Carleson measures for vector-valued weighted Bergman spaces and obtain several equivalent descriptions for such measures. Furthermore, the integral representations of vector-valued weighted Bergman space are considered.

Authors

Publication Details

Journal
Bulletin of the Belgian Mathematical Society - Simon Stevin
Published
2025-07-16
DOI
https://doi.org/10.36045/j.bbms.240719
Primary Topic
Holomorphic and Operator Theory
Type
article
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article

Pseudo-Carleson measures for vector-valued weighted Bergman space of the unit ball

Chunxu Xu, Changhui Wu
Bulletin of the Belgian Mathematical Society - Simon Stevin
Holomorphic and Operator Theory
article

Pseudo-Carleson measures for vector-valued weighted Bergman space of the unit ball

Chunxu Xu, Changhui Wu
article en

Abstract

Inspired by Xiao's work on pseudo-Carleson measures for Bergman spaces, we introduce pseudo-Carleson measures for vector-valued weighted Bergman spaces and obtain several equivalent descriptions for such measures. Furthermore, the integral representations of vector-valued weighted Bergman space are considered.

Bulletin of the Belgian Mathematical Society - Simon StevinVol. 32(2)
Openalex Percentile: Top 74%
Holomorphic and Operator Theory
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Pseudo-Carleson measures for vector-valued weighted Bergman space of the unit ball — Chunxu Xu, Changhui Wu · Bulletin of the Belgian Mathematical Society - Simon Stevin (2025) | TGRS Research Map | TGRS