索伯列夫空间第2版

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
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