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.
Citation: Munirah Aljuaid, Mahmoud Ali Bakhit. New applications of Carleson measures on $ \mathcal{N}_K(p, q) $-type spaces in the unit ball of $ \mathbb{C}^n $[J]. AIMS Mathematics, 2026, 11(3): 8618-8634. doi: 10.3934/math.2026354
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.
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Munirah Aljuaid, Mahmoud Ali Bakhit. New applications of Carleson measures on $ \mathcal{N}_K(p, q) $-type spaces in the unit ball of $ \mathbb{C}^n $[J]. AIMS Mathematics, 2026, 11(3): 8618-8634. doi: 10.3934/math.2026354
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