On the structure of $\mathcal{N}_p$-spaces in the ball

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 of important uses in the study of operator theory on $\mathcal{N}_p$-spaces.

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