Mean Ergodicity of Multiplication Operators on the Bloch and Besov Spaces

2020/07/10 by Fakhreddin Falahat, Falahat, F., Zahra Kamali +1
Mathematics · #46E15 #47A35 #47B38 #Advanced Banach Space Theory #Advanced Harmonic Analysis Research #Dynamical Systems (math.DS) #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.2007.05582

openalex publication_date 2020/07/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, the power boundedness and mean ergodicity of multiplication operators are investigated on the Bloch space B, the little Bloch space B0 and the Besov Space Bp. We completely characterize power bounded, mean ergodic and uniformly mean ergodic multiplication operators on B and B0.

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