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2012 GENERALIZED WEIGHTED COMPOSITION OPERATORS FROM AREA NEVANLINNA SPACES TO BLOCH-TYPE SPACES
Weifeng Yang, Xiangling Zhu
Taiwanese J. Math. 16(3): 869-883 (2012). DOI: 10.11650/twjm/1500406662

Abstract

Let $H({\mathbb D})$ denote the class of all analytic functions on the open unit disk ${\mathbb D}$ of ${\mathbb C}$. Let $\varphi$ be an analytic self-map of ${\mathbb D}$ and $u \in H({\mathbb D})$. The generalized weighted composition operator is defined by $$ D^n_{\varphi,u} f = uf^{(n)} \circ \varphi, \quad f \in H({\mathbb D}).$$ The boundedness and compactness of generalized weighted composition operators from area Nevanlinna spaces to Bloch-type spaces and little Bloch-type spaces are characterized in this paper.

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Weifeng Yang. Xiangling Zhu. "GENERALIZED WEIGHTED COMPOSITION OPERATORS FROM AREA NEVANLINNA SPACES TO BLOCH-TYPE SPACES." Taiwanese J. Math. 16 (3) 869 - 883, 2012. https://doi.org/10.11650/twjm/1500406662

Information

Published: 2012
First available in Project Euclid: 18 July 2017

zbMATH: 1268.47034
MathSciNet: MR2917244
Digital Object Identifier: 10.11650/twjm/1500406662

Subjects:
Primary: 47B33
Secondary: 30H30

Keywords: area Nevanlinna space , Bloch-type space , generalized weighted composition operator

Rights: Copyright © 2012 The Mathematical Society of the Republic of China

Vol.16 • No. 3 • 2012
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