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arxiv: 1611.04101 · v1 · pith:O3IGU66Bnew · submitted 2016-11-13 · 🧮 math.CV

Volterra type operators on growth Fock spaces

classification 🧮 math.CV
keywords growthomegaoperatorsdefinedfockmathbbspacestype
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Let $\omega$ be an unbounded radial weight on $\mathbb{C}^d$, $d\ge 1$. Using results related to approximation of $\omega$ by entire maps, we investigate Volterra type and weighted composition operators defined on the growth space $\mathcal{A}^\omega(\mathbb{C}^d)$. Special attention is given to the operators defined on the growth Fock spaces.

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