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2014 BOUNDEDNESS OF COMPOSITION OPERATOR BETWEEN WEIGHTED SPACES OF HOLOMORPHIC FUNCTIONS ON THE UPPER HALF-PLANE
Mohammad Ardalani
Taiwanese J. Math. 18(1): 277-283 (2014). DOI: 10.11650/tjm.18.2014.3405

Abstract

In this paper, we obtain a necessary and sufficient condition for boundedness of composition operator $ C_{\varphi}$, between two different weighted spaces of holomorphic functions on the upper half-plane, whenever one of the weights satisfy certain growth condition.

Citation

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Mohammad Ardalani. "BOUNDEDNESS OF COMPOSITION OPERATOR BETWEEN WEIGHTED SPACES OF HOLOMORPHIC FUNCTIONS ON THE UPPER HALF-PLANE." Taiwanese J. Math. 18 (1) 277 - 283, 2014. https://doi.org/10.11650/tjm.18.2014.3405

Information

Published: 2014
First available in Project Euclid: 10 July 2017

zbMATH: 1357.42015
MathSciNet: MR3162125
Digital Object Identifier: 10.11650/tjm.18.2014.3405

Subjects:
Primary: ‎46E15
Secondary: 47B33

Keywords: Composition operator , Holomorphic functions , upper half-plane , weighted spaces

Rights: Copyright © 2014 The Mathematical Society of the Republic of China

Vol.18 • No. 1 • 2014
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