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Tytuł:
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Spectrum of Compact Weighted Composition Operators on the Weighted Hardy Space in the Unit Ball
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Autorzy:
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Zhou, Ze-Hua
Yuan, Cheng
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Źródło:
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Journal of Inequalities and Applications; December 2006, Vol. 2007 Issue: 1 p1-8, 8p
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Letbe the unit ball in the-dimensional complex space, for, a holomorphic function in, and, a holomorphic map frominto itself, the weighted composition operator on the weighted Hardy spaceis given by, where. This paper discusses the spectrum ofwhen it is compact on a certain class of weighted Hardy spaces and when the composition maphas only one fixed point inside the unit ball.
