TY - BOOK AU - Lieb,Elliott H. AU - Loss,Michael ED - American Mathematical Society. TI - Analysis T2 - Graduate studies in mathematics SN - 0821827839 AV - QA300 .L54 2001 PY - 2001/// CY - Providence, RI PB - American Mathematical Society KW - Mathematical analysis N1 - Includes bibliographical references and index; Contents; Preface to the First Edition ; Preface to the Second Edition ; Ch. 1 Measure and Integration 1; Ch. 2 L[superscript p]-Spaces 41; Ch. 3 Rearrangement Inequalities 79; Ch. 4 Integral Inequalities 97; Ch. 5 The Fourier Transform 123; Ch. 6 Distributions 135; Ch. 7 The Sobolev Spaces H[superscript 1] and H[superscript 1/2] 171; Ch. 8 Sobolev Inequalities 199; Ch. 9 Potential Theory and Coulomb Energies 237; Ch. 10 Regularity of Solutions of Poisson's Equation 257; Ch. 11 Introduction to the Calculus of Variations 267; Ch. 12 More about Eigenvalues 299; Exercises 327; List of Symbols 331; References 335; Index 341 ER -