简介:Basedon[1],thispapergivesconcreteestimatesfordistortiontheoremforbiholomorphicconvexmappingsinclassicaldomainsoftypesⅠ,Ⅱ,andⅢincludingtransitivedomainswhichareholomorphicallyhomeomorphictothesedomains.
简介:Theinvarianceofstrongandalmostspirallikemappingsoftypeβandorderαisdiscussedinthispaper.Fromthemaximummodulusprincipleofholomorphicfunctions,weobtainthatthegeneralizedRoper-SuffridgeoperatorspreservestrongandalmostspirallikenessoftypeβandorderαontheunitballB~ninC~nandonboundedandcompleteReinhardtdomains.ThereforeweobtainthatthegeneralizedRoper-Suffridgeoperatorspreservestrongspirallikenessoftypeβ,strongandalmoststarlikenessoforderα,strongstarlikenessonthecorrespondingdomains.Thuswecanconstructmoresubclassesofspirallikemappingsinseveralcomplexvariables.