资源描述：
《Frechet Differentiability of Lipschitz Functions and Porous Sets in Banach Spaces》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、LPT-mainNovember18,20116x9AnnalsofMathematicsStudiesNumber179LPT-mainNovember18,20116x9LPT-mainNovember18,20116x9FrechetDifferentiabilityof´LipschitzFunctionsandPorousSetsinBanachSpacesJoramLindenstraussDavidPreissJaroslavTiserˇPRINCETONUNIVERSITYPRESSPRINCETONANDOXFORD2012LPT-mainNovember18,20
2、116x9Copyrightc2012byPrincetonUniversityPressPublishedbyPrincetonUniversityPress41WilliamStreet,Princeton,NewJersey08540IntheUnitedKingdom:PrincetonUniversityPress6OxfordStreet,Woodstock,OxfordshireOX201TWAllRightsReservedLibraryofCongressCataloging-in-PublicationDataLindenstrauss,Joram,1936–Fr
3、echetdifferentiabilityofLipschitzfunctionsandporoussetsinBanachspaces/´JoramLindenstrauss,DavidPreiss,JaroslavTiser.ˇp.cm.–(Annalsofmathematicsstudies;no.179)Includesbibliographicalreferencesandindex.ISBN978-0-691-15355-1(hardcover)–ISBN978-0-691-15356-8(pbk.)1.Banachspaces.2.Calculusofvariatio
4、ns.3.Functionalanalysis.I.Preiss,David.II.Tiser,ˇJaroslav,1957–III.Title.QA322.2.L5642012515’.88–dc232011037616BritishLibraryCataloging-in-PublicationDataisavailableThisbookhasbeencomposedinLATEX.Thepublisherwouldliketoacknowledgetheauthorsofthisvolumeforprovidingthecamera-readycopyfromwhichthi
5、sbookwasprinted.Printedonacid-freepaper1press.princeton.eduPrintedintheUnitedStatesofAmerica10987654321LPT-mainNovember18,20116x9TheauthorswouldliketothankNaomiLindenstraussforherhelpandtheHebrewUniversityforitssupport.ThisworkwasalsopartiallysupportedbythegrantsEPSRC(UK)EP/D053099/1(D.Preiss)a
6、ndGACR207/07/0394andMSM6840770010(J.Tiˇser).ˇLPT-mainNovember18,20116x9LPT-mainNovember18,20116x9Contents1Introduction11.1Keynotionsandnotation.........................92GateauxdifferentiabilityofLipschitzfunctionsˆ122.1Radon-Nikodymproperty.........................12´2.2HaarandAronszajn-Gaussn
7、ullsets...................132.3ExistenceresultsforGateauxderivatives.................15ˆ2.4Meanvalueestimates...........................163Smoothness,convexity,porosity,andseparabledetermination233.1Acriterionofdifferentiabilityof
