THE SHARP ESTIMATE OF THE THIRD HOMOGENEOUS EXPANSION FOR A CLASS OF STARLIKE MAPPINGS OF ORDER α ON THE UNIT POLYDISK IN Cn

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摘要 Inthisarticle,first,asufficientconditionforastarlikemappingoforderαf(x)definedontheunitballinacomplexBanachspaceisgiven.Second,thesharpestimateofthethirdhomogeneousexpansionforfisestablishedaswell,wheref(z)=(f1(z),f2(z),...,fn(z))’isastarlikemappingoforderαoranormalizedbiholomorphicstarlikemappingdefinedontheunitpolydiskinCn,andOurresultstatesthattheBieberbachconjectureinseveralcomplexvariables(thecaseofthethirdhomogeneousexpansionforstarlikemappingsoforderαandbiholomorphicstarlikemappings)ispartlyproved.
机构地区 不详
出版日期 2012年02月12日(中国期刊网平台首次上网日期,不代表论文的发表时间)