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SPECTRA OF LINEAR FRACTIONAL COMPOSITION OPERATORS ON THE GROWTH SPACE AND BLOCH SPACE OF THE UPPER HALF-PLANE
Published online by Cambridge University Press: 29 October 2018
Abstract
In this article, we provide a complete description of the spectra of linear fractional composition operators acting on the growth space and Bloch space over the upper half-plane. In addition, we also prove that the norm, essential norm, spectral radius and essential spectral radius of a composition operator acting on the growth space are all equal.
MSC classification
- Type
- Research Article
- Information
- Journal of the Australian Mathematical Society , Volume 107 , Issue 2 , October 2019 , pp. 199 - 214
- Copyright
- © 2018 Australian Mathematical Publishing Association Inc.
Footnotes
The work was supported in part by the National Natural Science Foundation of China (Grant Nos. 11771323; 11371276).