$\mathcal{N}(p,q,s)$-type spaces in the unit ball of $\mathbb{C}^n$. III. Various characterizations

The purpose of this paper is to study various characterizations of a new class of function spaces, called $\mathcal N(p,q,s)$-type spaces, in the unit ball $\mathbb B$ of $\mathbb C^n$, via different notions of derivatives. As a corollary, a version of Korenblum's inequality for $\mathcal N(p,q,s)$-type functions was established. Moreover, the mixture and oscillation characterizations of $\mathcal N(p,q,s)$-type spaces are also investigated.