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Spectrum of Compact Weighted Composition Operators on the Weighted Hardy Space in the Unit Ball
Journal of Inequalities and Applications volume 2007, Article number: 061313 (2007)
Let be the unit ball in the-dimensional complex space, for, a holomorphic function in, and, a holomorphic map from into itself, the weighted composition operator on the weighted Hardy space is given by, where. This paper discusses the spectrum of when it is compact on a certain class of weighted Hardy spaces and when the composition map has only one fixed point inside the unit ball.
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Zhou, ZH., Yuan, C. Spectrum of Compact Weighted Composition Operators on the Weighted Hardy Space in the Unit Ball. J Inequal Appl 2007, 061313 (2007). https://doi.org/10.1155/2007/61313
- Holomorphic Function
- Unit Ball
- Hardy Space
- Complex Space
- Composition Operator