Spectra of linear fractional composition operators on the Hardy and weighted Bergman spaces of the half-plane

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• 作者：Riikka Schroderus ^{riikka.schroderus@helsinki.fi" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Composition operator ; Spectrum ; Essential spectrum ; Hardy space of the upper half-plane ; Weighted Bergman spaces of the upper half-plane
• 刊名：Journal of Mathematical Analysis and Applications
• 出版年：2017
• 出版时间：15 March 2017
• 年：2017
• 卷：447
• 期：2
• 页码：817-833
• 全文大小：423 K

文摘

We compute the spectra and the essential spectra of bounded linear fractional composition operators acting on the Hardy and weighted Bergman spaces of the upper half-plane. We are also able to extend the results to weighted Dirichlet spaces of the upper half-plane.