Abstract
In this paper, we introduce N-K-type spaces of holomorphic functions in the unit ball of C-n by the help of a non-decreasing function K : (0, infinity) -> [0, infinity). Several important properties of these spaces in the unit ball are provided. The results are applied to characterize boundedness and compactness of weighted composition operators W-u,W-phi from N-K(B) spaces into Beurling-type classes. We also find the essential norm estimates for W-u,W-phi from N-K(B) spaces into Beurling-type classes.