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• W2230109920 abstract "Let $varphi$ be an analytic self-map of open unit disk $mathbb{D}$. The operator given by $(C_{varphi}f)(z)=f(varphi(z))$, for $z in mathbb{D}$ and $f$ analytic on $mathbb{D}$ is called a composition operator. Let $omega$ be a weight function such that $omegain L^{1}(mathbb{D}, dA)$. The space we consider is a generalized weighted Nevanlinna class $mathcal{N}_{omega}$, which consists of all analytic functions $f$ on $mathbb{D}$ such that $displaystyle |f|_{omega}=int_{mathbb{D}}log^{+}(|f(z)|) omega(z) dA(z)$ is finite; that is, $mathcal{N}_{omega}$ is the space of all analytic functions belong to $L_{log^+}(mathbb{D}, omega dA)$. In this paper we investigate, in terms of function-theoretic, composition operators on the space $mathcal{N}_{omega}$. We give sufficient conditions for the boundedness and compactness of these composition operators." @default.
• W2230109920 created "2016-06-24" @default.
• W2230109920 creator A5013967551 @default.
• W2230109920 date "2014-05-01" @default.
• W2230109920 modified "2023-09-26" @default.
• W2230109920 title "Composition Operators on Generalized Weighted Nevanlinna Class" @default.
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• W2230109920 doi "https://doi.org/10.35834/mjms/1404997105" @default.
• W2230109920 hasPublicationYear "2014" @default.
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