-baunlogo.png?alt=media&token=2b1f50b7-298a-48ee-a2b1-6fcf8e70b387)
Analysis /
Lieb, Elliott H.
Analysis / Elliott H. Lieb, Michael Loss. - 2nd ed. - xxii, 346 pages ; 27 cm. - Graduate studies in mathematics ; v. 14 . - Graduate studies in mathematics, volume 14. .
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
0821827839
Mathematical analysis.
QA300 / .L54 2001
Analysis / Elliott H. Lieb, Michael Loss. - 2nd ed. - xxii, 346 pages ; 27 cm. - Graduate studies in mathematics ; v. 14 . - Graduate studies in mathematics, volume 14. .
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
0821827839
Mathematical analysis.
QA300 / .L54 2001
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