Hypercyclic and mixing composition operators on H^p

2022/07/12 by Zhen Rong, Rong, Zhen
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.2207.05274

openalex publication_date 2022/07/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Extending previous results of Bourdon and Shapiro we characterize the hypercyclic and mixing composition operators C_φ for the automorphisms of \mathbbD on any of the spaces H^p with 1\leqslant p<+∞.

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