𝒩(p, q, s)-type spaces in the unit ball of ℂn(II): Carleson measure and its application.

The purpose of this paper is to study a new class of function spaces, called 𝒩 ⁢ (p , q , s) {\mathcal{N}(p,q,s)} -type spaces, in the unit ball 𝔹 {{\mathbb{B}}} of ℂ n {{\mathbb{C}}^{n}}. The Carleson measure on such spaces is investigated. Some embedding theorems among 𝒩 ⁢ (p , q , s) {\mathcal{N}(p,q,s)} -type spaces, weighted Bergman spaces and weighted Hardy spaces are established. As for applications, the Hadamard products and random power series on 𝒩 ⁢ (p , q , s) {\mathcal{N}(p,q,s)} -type spaces are also studied. [ABSTRACT FROM AUTHOR]