${\mathcal{N}}_p$-type functions with Hadamard gaps in the unit ball

Abstract

We study the holomorphic functions with Hadamard gaps in ${\mathcal{N}}_p$-spaces on the unit ball of ${\mathbb{C}}^n$ when $0<p\le n$ and $p>n$. A corollary on analytic functions with Hadamard gaps on ${\mathcal{N}}_p$-spaces on the unit disk is also given.