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 Generalized weighted composition operators from area Nevanlinna spaces to weighted-type spaces Bull. Korean Math. Soc. 2011 Vol. 48, No. 6, 1195-1205 https://doi.org/10.4134/BKMS.2011.48.6.1195Published online November 1, 2011 Yang Weifeng and Yan Weiren Hunan Institute of Engineering, Hunan Institute of Engineering Abstract : Let $H(\mathbb D)$ denote the class of all analytic functions on the open unit disk $\mathbb D$ of the complex plane $\mathbb C$. Let $n$ be a nonnegative integer, $\varphi$ be an analytic self-map of $\mathbb D$ and $u\in H(\mathbb D)$. The generalized weighted composition operator is defined by $$D^n_{\varphi,u}f=uf^{(n)}\circ \varphi,~~ f\in H(\mathbb D).$$ The boundedness and compactness of the generalized weighted composition operator from area Nevanlinna spaces to weighted-type spaces and little weighted-type spaces are characterized in this paper. Keywords : generalized weighted composition operator, area Nevanlinna space, weighted-type space MSC numbers : Primary 47B38; Secondary 30H05 Downloads: Full-text PDF