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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