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2015 Inner functions and weighted composition operators on the Hardy-Hilbert space with the unbounded weights
Kei Ji Izuchi, Kou Hei Izuchi, Yuko Izuchi
Ann. Funct. Anal. 6(2): 104-115 (2015). DOI: 10.15352/afa/06-2-10

Abstract

Let $\varphi$ be an analytic self-map of the open unit disk. It is given several sufficient conditions on $\varphi$ for which there is $u\in H^2 \ H^{\infty}$ such that the weighted composition operator $M_u C_\varphi$ on $H^2$ is bounded.

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Kei Ji Izuchi. Kou Hei Izuchi. Yuko Izuchi. "Inner functions and weighted composition operators on the Hardy-Hilbert space with the unbounded weights." Ann. Funct. Anal. 6 (2) 104 - 115, 2015. https://doi.org/10.15352/afa/06-2-10

Information

Published: 2015
First available in Project Euclid: 19 December 2014

zbMATH: 1323.47029
MathSciNet: MR3292519
Digital Object Identifier: 10.15352/afa/06-2-10

Subjects:
Primary: 47B38
Secondary: 30H10

Rights: Copyright © 2015 Tusi Mathematical Research Group

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Vol.6 • No. 2 • 2015
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