Annals of Functional Analysis

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

Kei Ji Izuchi, Kou Hei Izuchi, and Yuko Izuchi

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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.

Article information

Source
Ann. Funct. Anal., Volume 6, Number 2 (2015), 104-115.

Dates
First available in Project Euclid: 19 December 2014

Permanent link to this document
https://projecteuclid.org/euclid.afa/1418997770

Digital Object Identifier
doi:10.15352/afa/06-2-10

Mathematical Reviews number (MathSciNet)
MR3292519

Zentralblatt MATH identifier
1323.47029

Subjects
Primary: 47B38: Operators on function spaces (general)
Secondary: 30H10: Hardy spaces

Keywords
Hardy space inner function weighted composition operator boundedness

Citation

Izuchi, Kei Ji; Izuchi, Kou Hei; Izuchi, Yuko. Inner functions and weighted composition operators on the Hardy-Hilbert space with the unbounded weights. Ann. Funct. Anal. 6 (2015), no. 2, 104--115. doi:10.15352/afa/06-2-10. https://projecteuclid.org/euclid.afa/1418997770


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References

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