成功加入购物车
施泰恩 (Stein E.M.) 著 / 世界图书出版公司 / 2011-06 / 平装
售价 ¥ 200.00
品相 九五品
上书时间2021-07-28
奇异积分和函数的可微性
ThisbookisanoutgrowthofacoursewhichIgaveatOrsayduringtheacademicyear1966.67MYpurposeinthoselectureswastopre-sentsomeoftherequiredbackgroundandatthesametimeclarifytheessentialunitythatexistsbetweenseveralrelatedareasofanalysis.Theseareasare:theexistenceandboundednessofsingularintegralop-erators;theboundarybehaviorofharmonicfunctions;anddifferentia-bilitypropertiesoffunctionsofseveralvariables.ASsuchthecommoncoreofthesetopicsmaybesaidtorepresentoneofthecentraldevelop-mentsinn.dimensionalFourieranalysisduringthelasttwentyyears,anditcanbeexpectedtohaveequalinfluenceinthefuture.Thesepos.
作者:(美国)施泰恩(SteinE.M.)
PREFACENOTATIONI.SOMEFUNDAMENTALNOTIONSOFREAL.VARIABLETHEORYThemaximalfunctionBehaviorneargeneralpointsofmeasurablesetsDecompositionincubesofopensetsinR”AninterpolationtheoremforLFurtherresultsII.SINGULARINTEGRALSReviewofcertainaspectsofharmonicanalysisinR”Singularintegrals:theheartofthematterSingularintegrals:someextensionsandvariantsoftheprecedingSingularintegraloperaterswhichcommutewithdilationsVector.valuedanaloguesFurtherresultsIII.RIESZTRANSFORMS,POLSSONINTEGRALS,ANDSPHERICAIHARMONICSTheRiesztransformsPoissonintegralsandapproximationstotheidentityHigherRiesztransformsandsphericalharmonicsFurtherresultsIV.THELITTLEWOOD.PALEYTHEORYANDMULTIPLIERSTheLittlewood-Paleyg-functionThefunctiongMultipliers(firstversion)ApplicationofthepartialsumsoperatorsThedyadicdecompositionTheMarcinkiewiczmultipliertheoremFurtherresultsV.DIFFERENTIABlLITYPROPERTIESINTERMSOFFUNCTIONSPACESRieszpotentialsTheSobolevspacesBesseIpotentialsThespacesofLipschitzcontinuousfunctionsThespacesFurtherresultsVI.EXTENSIONSANDRESTRICTIONSDecompositionofopensetsintocubesExtensiontheoremsofWhitneytypeExtensiontheoremforadomainwithminimallysmoothboundaryFurtherresultsVII.RETURNTOTHETHEORYOFHARMONICFUNCTIONSNon-tangentialconvergenceandFatou'StheoremTheareaintegralApplicationofthetheoryofH”spacesFurtherresultsVIII.DIFFERENTIATIONOFFUNCTIONSSeveralqotionsofpointwisedifierentiabilityThesplittingoffunctionsAcharacterization0fdifrerentiabilityDesymmetrizationprincipleAnothercharacterizationofdifirerentiabiliWFurtherresultsAPPENDICESSomeInequalitiesTheMarcinkiewiczInterpolationTheoremSomeElementaryPropertiesofHarmonicFunctionsInequalitiesforRademacherFunctionsBlBLl0GRAPHYINDEX
展开全部
配送说明
...
相似商品
为你推荐
开播时间:09月02日 10:30