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《SMM Moduli in Modern Mapping Theory 0387855866》由会员上传分享，免费在线阅读，更多相关内容在学术论文-天天文库。
1、SpringerMonographsinMathematicsForothertitlespublishedinthisseries,gotohttp://www.springer.com/series/3733OlliMartio•VladimirRyazanov•UriSrebro•EduardYakubovModuliinModernMappingTheoryWith12Illustrations123OlliMartioVladimirRyazanovUniversityofHelsinkiInstituteofAppl
2、iedMathematicsHelsinkiandMechanicsofNationalAcademyFinlandofSciencesofUkraineolli.martio@helsinki.fiDonetskUkrainevlryazanov1@rambler.ruUriSrebroEduardYakubovTechnion-IsraelInstituteH.I.T.-HolonInstituteofTechnologyofTechnologyHolonHaifaIsraelIsraelyakubov@hit.ac.ilsr
3、ebro@math.technion.ac.ilISSN:1439-7382ISBN:978-0-387-85586-8e-ISBN:978-0-387-85588-2DOI10.1007/978-0-387-85588-2LibraryofCongressControlNumber:2008939873cSpringerScience+BusinessMedia,LLC2009Allrightsreserved.Thisworkmaynotbetranslatedorcopiedinwholeorinpartwithoutt
4、hewrittenpermissionofthepublisher(SpringerScience+BusinessMedia,LLC,233SpringStreet,NewYork,NY10013,USA),exceptforbriefexcerptsinconnectionwithreviewsorscholarlyanalysis.Useinconnec-tionwithanyformofinformationstorageandretrieval,electronicadaptation,computersoftware
5、,orbysimilarordissimilarmethodologynowknownorhereafterdevelopedisforbidden.Theuseinthispublicationoftradenames,trademarks,servicemarks,andsimilarterms,eveniftheyarenotidentifiedassuch,isnottobetakenasanexpressionofopinionastowhetherornottheyaresubjecttoproprietaryrigh
6、ts.Printedonacid-freepaperspringer.comDedicatedto100YearsofLarsAhlforsPrefaceThepurposeofthisbookistopresentmoderndevelopmentsandapplicationsofthetechniquesofmodulusorextremallengthofpathfamiliesinthestudyofmap-pingsinRn,n≥2,andinmetricspaces.Themodulusmethodwasiniti
7、atedbyLarsAhlforsandArneBeurlingtostudyconformalmappings.Laterthismethodwasextendedandenhancedbyseveralotherauthors.Thetechniquesaregeomet-ricandhaveturnedouttobeanindispensabletoolinthestudyofquasiconformalandquasiregularmappingsaswellastheirgeneralizations.Thebooki
8、sbasedonratherrecentresearchpapersandextendsthemodulusmethodbeyondtheclassicalapplicationsofthemodulustechniquespresentedinmanymono
