Königs eigenfunction for composition operators on Bloch and H^∞ type spaces

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• 作者：Ted Eklund^a ; ^{ted.eklund@abo.fi" class="auth_mail" title="E-mail the corresponding author} ; Pablo Galindo^b ; ¹ ; ^{pablo.galindo@uv.es" class="auth_mail" title="E-mail the corresponding author} ; Mikael Lindstr&ouml ; m^a ; ^{mikael.lindstrom@abo.fi" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Composition operator ; K&ouml ; nigs eigenfunction
• 刊名：Journal of Mathematical Analysis and Applications
• 出版年：2017
• 出版时间：15 January 2017
• 年：2017
• 卷：445
• 期：2
• 页码：1300-1309
• 全文大小：328 K

文摘

We discuss when the Königs eigenfunction associated with a non-automorphic selfmap of the complex unit disc that fixes the origin belongs to Banach spaces of holomorphic functions of Bloch and k to view the MathML source">H^∞$H^{\infty }$ type. In the latter case, our characterization answers a question of P. Bourdon. Some spectral properties of composition operators on k to view the MathML source">H^∞$H^{\infty }$ for unbounded Königs eigenfunction are obtained.