索伯列夫空间（第2版）

图书标准信息

• 作者 [加]亚当斯 著
• 出版社 世界图书出版公司
• 出版时间 2009-08
• 版次 1
• ISBN 9787510005374
• 定价 69.00元
• 装帧 平装
• 开本 24开
• 纸张 胶版纸
• 页数 305页
• 正文语种 英语

【内容简介】

ThismonographpresentsanintroductorystudyofofthepropertiesofcertainBa-nachspacesofweaklydifferentiablefunctionsofseveralrealvariablesthatariseinconnectionwithnumerousproblemsinthetheoryofpartialdifferentialequations，approximationtheory，andmanyotherareasofpureandappliedmathematics.ThesespaceshavebecomeassociatedwiththenameofthelateRussianmathe-maticianS.L.Sobolev，althoughtheiroriginspredatehismajorcontributionstotheirdevelopmentinthelate1930s.

【目录】

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
……