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arxiv: 1703.09993 · v1 · pith:VSNY7FQXnew · submitted 2017-03-29 · 🧮 math.FA

Hypercyclic Composition Operators]{Hypercyclic composition operators on the little Bloch space mathcal{B}₀ and the Besov spaces B_p

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

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