English

Hypercyclic Composition Operators]{Hypercyclic composition operators on the little Bloch space $\mathcal{B}_0$ and the Besov spaces $B_p

Functional Analysis 2017-03-30 v1

Abstract

Let S(D)S(\mathbb{D}) be the collection of all holomorphic self-maps on D\mathbb{D} of the complex plane C\mathbb{C}, and CφC_{\varphi} the composition operator induced by φS(D)\varphi\in S(\mathbb{D}). We obtain that there are no hypercyclic composition operators on the little Bloch space B0\mathcal{B}_0 and the Besov space BpB_p.

Keywords

Cite

@article{arxiv.1703.09993,
  title  = {Hypercyclic Composition Operators]{Hypercyclic composition operators on the little Bloch space $\mathcal{B}_0$ and the Besov spaces $B_p},
  author = {Yu-Xia Liang and Ze-Hua Zhou},
  journal= {arXiv preprint arXiv:1703.09993},
  year   = {2017}
}

Comments

10 pages