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25 April 2024
 
  » arxiv » 2007.5582

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Mean Ergodicity of Multiplication Operators on the Bloch and Besov Spaces
F. Falahat ; Z. Kamali ;
Date 10 Jul 2020
AbstractIn this paper, the power boundedness and mean ergodicity of multiplication operators are investigated on the Bloch space $mathcal{B}$, the little Bloch space $mathcal{B }_0 $ and the Besov Space $mathcal{B}_p$. Let $mathbb{U}$ be the unit disk on the complex plane $mathbb{C}$ and $psi$ be a function on the space of holomorphic functions $H(mathbb{U})$, our goal is to find out when the multiplication operator $M_{ psi}$ is power bounded, mean ergodic and uniformly mean ergodic on $mathcal{B}$, $mathcal{B }_0 $ and $mathcal{B}_p$.
Source arXiv, 2007.5582
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