Composition Operators on a Banach Space of Analytic Functions-中国Betway体育网页登陆

摘要 <正> Inthispaper,westudycompositionoperatorsonaBanachspaceofanalyticfunctions,denotedbyX,whichincludestheBlochspace.ThisspacearisesnaturallyasthedualspaceofanalyticfunctionsintheBergmanspaceL_a~1(D)whichadmitanatomicdecomposition.Wecharac-terizethefunctionswhichinducecompactcompositionoperatorsandthosewhichinduceFredholmoperatorsonthisspace.Wealsoinvestigatewhenacompositionoperatorhasaclosedrange.

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Composition Operators on a Banach Space of Analytic Functions

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