New applications of Carleson measures on $ \mathcal{N}_K(p, q) $-type spaces in the unit ball of $ \mathbb{C}^n $
Abstract
This paper aims to examine a weighted class of function spaces, referred to as $ \mathcal{N}_K(p, q) $-type spaces, defined on the unit ball of $ \mathbb{C}^n $. The study explores the characterization of Carleson measures associated with these spaces and establishes embedding theorems connecting $ \mathcal{N}_K(p, q) $-type spaces with weighted Hardy and Bergman spaces. In addition, applications involving Hadamard products and random power series within $ \mathcal{N}_K(p, q) $-type spaces are discussed.
Fields of Study & Subjects
Advanced Harmonic Analysis Research
Holomorphic and Operator Theory
Advanced Banach Space Theory
Publication details
- Journal / source
- AIMS Mathematics
- Publisher
- American Institute of Mathematical Sciences (AIMS)
- Volume
- 11
- Issue
- 3
- Pages
- 8618–8634
- Publication date
- 1 January 2026