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 thmlsrc">text stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0022247X16300816&_mathId=si1.gif&_user=111111111&_pii=S0022247X16300816&_rdoc=1&_issn=0022247X&md5=9c822e7f1a28ff630fcabca84649b443" title="Click to view the MathML source">H∞thContainer hidden">thCode">th altimg="si1.gif" overflow="scroll">H∞th> type. In the latter case, our characterization answers a question of P. Bourdon. Some spectral properties of composition operators on thmlsrc">text stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0022247X16300816&_mathId=si1.gif&_user=111111111&_pii=S0022247X16300816&_rdoc=1&_issn=0022247X&md5=9c822e7f1a28ff630fcabca84649b443" title="Click to view the MathML source">H∞thContainer hidden">thCode">th altimg="si1.gif" overflow="scroll">H∞th> for unbounded Königs eigenfunction are obtained.