English

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

Functional Analysis 2016-07-26 v1

Abstract

We study the structure of Np\mathcal{N}_p-spaces in the ball. In particular, we show that any such space is Moebius-invariant and for 0<pn0<p \leq n, all Np\mathcal{N}_p-spaces are different. Our results will be of important uses in the study of operator theory on Np\mathcal{N}_p-spaces.

Keywords

Cite

@article{arxiv.1607.07415,
  title  = {On the structure of $\mathcal{N}_p$-spaces in the ball},
  author = {Bingyang Hu and Le Hai Khoi and Trieu Le},
  journal= {arXiv preprint arXiv:1607.07415},
  year   = {2016}
}