Evans-Gariepy-Measure Theory and Fine Properties of Functions, Revised Edition-2015.pdf

Evans-Gariepy-Measure Theory and Fine Properties of Functions, Revised Edition-2015.pdf

ID:34140690

大?。?.77 MB

頁數(shù):313頁

時間:2019-03-03

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1、MathematicsTEXTBOOKSinMATHEMATICSTEXTBOOKSinMATHEMATICSMEASURETHEORYMEASURETHEORYMeasureTheoryandFinePropertiesofFunctions,RevisedEditionprovidesadetailedexaminationofthecentralasser-ANDFINEPROPERTIEStionsofmeasuretheoryinn-dimensionalEuclideanspace.Thebookemphasizestherolesof

2、Hausdorffmeasureandcapacityincharacterizingthefinepropertiesofsetsandfunctions.OFFUNCTIONSOFFUNCTIONSTopicscoveredincludeaquickreviewofabstractmeasureRevisedEditiontheory,theoremsanddifferentiationin?n,Hausdorffmeasures,areaandcoareaformulasforLipschitzmappingsandrelatedANDcha

3、nge-of-variableformulas,andSobolevfunctionsaswellasfunctionsofboundedvariation.FINEPROPERTIESThetextprovidescompleteproofsofmanykeyresultsomittedfromotherbooks,includingBesicovitch’scoveringtheorem,Rademacher’stheorem(onthedifferentiabilitya.e.ofLipschitzfunctions),areaandcoar

4、eaformulas,theprecisestructureofSobolevandBVfunctions,theprecisestructureofsetsoffiniteperimeter,andAleksandrov’stheorem(onthetwicedifferentiabilitya.e.ofconvexfunctions).Thisrevisededitionincludescountlessimprovementsinnotation,format,andclarityofexposition.Alsonewareseverals

5、ectionsdescribingtheπ-λtheorem,weakcompactnesscriteriainL1,andYoungmeasuremethodsforweakconvergence.Inaddition,thebibliographyhasbeenupdated.Topicsarecarefullyselectedandtheproofsaresuccinct,butGariepyEvanscomplete.Thisbookprovidesidealreadingformathematiciansandforgraduatestu

6、dentsinpureandappliedmathematics.LawrenceC.EvansK23386RonaldF.Gariepywww.crcpress.comK23386_FM.indd43/17/1512:52PMMEASURETHEORYANDFINEPROPERTIESOFFUNCTIONSRevisedEditionK23386_FM.indd13/17/1512:52PMTEXTBOOKSinMATHEMATICSSeriesEditors:AlBoggessandKenRosenPUBLISHEDTITLESABSTRACT

7、ALGEBRA:ANINQUIRY-BASEDAPPROACHJonathanK.Hodge,StevenSchlicker,andTedSundstromABSTRACTALGEBRA:ANINTERACTIVEAPPROACHWilliamPaulsenADVANCEDCALCULUS:THEORYANDPRACTICEJohnSrdjanPetrovicADVANCEDLINEARALGEBRANicholasLoehrANALYSISWITHULTRASMALLNUMBERSKarelHrbacek,OlivierLessmann,andR

8、ichardO’DonovanAPPLIEDDIFFERENTIALEQUATIONS:THEPRIMARYCOURSEV

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