logo_acta

Acta Mathematica Vietnamica

On the Structure of $\mathcal{N}_{p}$-Spaces in the Ball

Bingyang Hu , icon-email Le Hai Khoi , Trieu Le

Abstract

We study the structure of $\mathcal{N}_{p}$-spaces in the ball. In particular, we show that any such space is Moebius-invariant and for $0 < p \leq n$, all $\mathcal{N}_{p}$-spaces are different. Our results will be used in the study of operator theory on $\mathcal{N}_{p}$-spaces.