索伯列夫空间（第2版）

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上海杨浦

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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

装帧平装

货号c

上书时间2024-06-13

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【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
……

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