2015•Annales Polonici MathematiciOpen access

Weighted composition operators from Zygmund spaces to Bloch spaces on the unit ball

Yu‐Xia Liang, Wang Chang-jin, Ze‐Hua Zhou

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Abstract

Let $H(\mathbb {B})$ denote the space of all holomorphic functions on the unit ball $\mathbb {B}\subset \mathbb {C}^n.$ Let $\varphi $ be a holomorphic self-map of $\mathbb {B}$ and $u\in H(\mathbb {B})$. The weighted composition operator $uC_\varphi $ on

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Let $H(\mathbb {B})$ denote the space of all holomorphic functions on the unit ball $\mathbb {B}\subset \mathbb {C}^n.$ Let $\varphi $ be a holomorphic self-map of $\mathbb {B}$ and $u\in H(\mathbb {B})$. The weighted composition operator $uC_\varphi $ on

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Available abstract

Let $H(\mathbb {B})$ denote the space of all holomorphic functions on the unit ball $\mathbb {B}\subset \mathbb {C}^n.$ Let $\varphi $ be a holomorphic self-map of $\mathbb {B}$ and $u\in H(\mathbb {B})$. The weighted composition operator $uC_\varphi $ on

Key concepts: Holomorphic function, Unit sphere, Mathematics, Composition operator, Bloch space, Ball (mathematics), Composition (language), Hardy space

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