书籍详情
索伯列夫空间第2版
作者：（加）亚当斯 著
出版社：世界图书出版公司
出版时间：2009-08-01
ISBN：9787510005374
定价：¥69.00
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内容简介
ThismonographpresentsanintroductorystudyofofthepropertiesofcertainBanachspacesofweaklydifferentiablefunctionsofseveralrealvariablesthatariseinconnectionwithnumerousproblemsinthetheoryofpartialdifferentialequations，approximationtheory，andmanyotherareasofpureandappliedmathematics.
作者简介
暂缺《索伯列夫空间第2版》作者简介
目录
Preface
Lisf of Spaces and Norms
1. PRELIMINARIES
Notation
Topological Vector Spaces
Normed Spaces
Spaces of Continuous Functions
The Lebesgue Measure in Rn
The Lebesgue Integral
Distributions and Weak Derivatives
2. THE LEBESGUE SPACES Lp(Ω)
Definition and Basic Properties
Completeness of Lp (Ω)
Approximation by Continuous Functions
Convolutions and Young's Theorem
Mollifiers and Approximation by Smooth Functions
Precompact Sets in Lp (Ω)
Uniform Convexity
The Normed Dual of LP(Ω)
Mixed-Norm Lp Spaces
The Marcinkiewicz Interpolation Theorem
……
Lisf of Spaces and Norms
1. PRELIMINARIES
Notation
Topological Vector Spaces
Normed Spaces
Spaces of Continuous Functions
The Lebesgue Measure in Rn
The Lebesgue Integral
Distributions and Weak Derivatives
2. THE LEBESGUE SPACES Lp(Ω)
Definition and Basic Properties
Completeness of Lp (Ω)
Approximation by Continuous Functions
Convolutions and Young's Theorem
Mollifiers and Approximation by Smooth Functions
Precompact Sets in Lp (Ω)
Uniform Convexity
The Normed Dual of LP(Ω)
Mixed-Norm Lp Spaces
The Marcinkiewicz Interpolation Theorem
……
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