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Article overview
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Mean Ergodicity of Multiplication Operators on the Bloch and Besov Spaces | F. Falahat
; Z. Kamali
; | Date: |
10 Jul 2020 | Abstract: | In 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 | Services: | Forum | Review | PDF | Favorites |
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