《索伯列夫空間（第2版）》是2009年8月世界圖書出版公司出版的圖書，作者是（加）亞當斯。
基本介紹
- 書名：索伯列夫空間（第2版）
- 作者：（加）亞當斯
- 出版社：世界圖書出版公司
- 出版時間：2009年8月
內容簡介,目錄,
內容簡介
ThismonographpresentsanintroductorystudyofofthepropertiesofcertainBa-nachspacesofweaklydifferentiablefunctionsofseveralrealvariablesthatariseinconnectionwithnumerousproblemsinthetheoryofpartialdifferentialequations，approximationtheory，andmanyotherareasofpureandappliedmathematics.ThesespaceshavebecomeassociatedwiththenameofthelateRussianmathe-maticianS.L.Sobolev，althoughtheiroriginspredatehismajorcontributionstotheirdevelopmentinthelate1930s.
目錄
Preface
LisfofSpacesandNorms
1.PRELIMINARIES
Notation
TopologicalVectorSpaces
NormedSpaces
SpacesofContinuousFunctions
TheLebesgueMeasureinRn
TheLebesgueIntegral
DistributionsandWeakDerivatives
2.THELEBESGUESPACESLp(Ω)
DefinitionandBasicProperties
CompletenessofLp(Ω)
ApproximationbyContinuousFunctions
ConvolutionsandYoungsTheorem
MollifiersandApproximationbySmoothFunctions
PrecompactSetsinLp(Ω)
UniformConvexity
TheNormedDualofLP(Ω)
Mixed-NormLpSpaces
TheMarcinkiewiczInterpolationTheorem
……
