# Analysis, Second edition

Elliott H Lieb, Princeton University, Princeon, NJ and Michael P Loss, Georgia Institute of Technology, Atlanta, GA

Publication Year 1997: Volume 14
ISBNs: 978-0-8218-2783-3 (print); 978-1-4704-1143-5 (online)
DOI: http://dx.doi.org/10.1090/gsm/014
MathSciNet review: MR1817225
MSC: Primary 00A05; Secondary 26-01, 28-01, 31-01, 35-01, 42-01, 46-01

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Chapters

• Chapter 1. Measure and integration
• Chapter 2. $L^p$-spaces
• Chapter 3. Rearrangement inequalities
• Chapter 4. Integral inequalities
• Chapter 5. The Fourier transform
• Chapter 6. Distributions
• Chapter 7. The Sobolev spaces $H^1$ and $H^{1\/2}$
• Chapter 8. Sobolev inequalities
• Chapter 9. Potential theory and Coulomb energies
• Chapter 10. Regularity of solutions of Poisson’s equation
• Chapter 11. Introduction to the calculus of variations
• Chapter 12. More about Eigenvalues