On compositional dynamics on hardy space

IF 0.4 Q4 MATHEMATICS Boletim Sociedade Paranaense de Matematica Pub Date : 2022-12-29 DOI:10.5269/bspm.62921
Otmane Benchiheb, N. Karim, M. Amouch
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引用次数: 0

Abstract

In this work, we examine super-recurrence and super-rigidity of composition operators acting on $H(\mathbb{D})$ the space of holomorphic functions on the unit disk $\mathbb{D}$ and on $H^2(\mathbb{D})$ the Hardy-Hilbert space. We characterize the symbols that generate super-recurrent and super-rigid composition operators acting on $H(\mathbb{D})$ and $H^2(\mathbb{D})$.
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论hardy空间上的合成动力学
在这项工作中,我们研究了作用在单位圆盘$\mathbb{D}$上的全纯函数空间$H(\mathbb{D})$和作用在Hardy-Hilbert空间$H^2(\mathbb{D)$上的复合算子的超递推和超刚性。我们刻画了产生作用于$H(\mathbb{D})$和$H^2(\mathbb{D})$的超递归和超刚性复合算子的符号。
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来源期刊
CiteScore
1.40
自引率
0.00%
发文量
140
审稿时长
25 weeks
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