Composition Operators on a Banach Space of Analytic Functions

(整期优先)网络出版时间:1998-02-12
/ 1
<正>Inthispaper,westudycompositionoperatorsonaBanachspaceofanalyticfunctions,denotedbyX,whichincludestheBlochspace.ThisspacearisesnaturallyasthedualspaceofanalyticfunctionsintheBergmanspaceL_a~1(D)whichadmitanatomicdecomposition.Wecharac-terizethefunctionswhichinducecompactcompositionoperatorsandthosewhichinduceFredholmoperatorsonthisspace.Wealsoinvestigatewhenacompositionoperatorhasaclosedrange.