Inner functions and weighted composition operators on the Hardy-Hilbert space with the unbounded weights

Kei Ji Izuchi; Kou Hei Izuchi; Yuko Izuchi

doi:10.15352/afa/06-2-10

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, and Yuko Izuchi "Inner functions and weighted composition operators on the Hardy-Hilbert space with the unbounded weights," Annals of Functional Analysis 6(2), 104-115, (2015). https://doi.org/10.15352/afa/06-2-10

Published: 2015

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