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Analysis, Second edition
About this Title
Elliott H Lieb, Princeton University, Princeon, NJ and Michael P Loss, Georgia Institute of Technology, Atlanta, GA
Publication: Graduate Studies in Mathematics
Publication Year:
1997; Volume 14
ISBNs: 978-0-8218-2783-3 (print); 978-1-4704-1143-5 (online)
DOI: https://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
This volume is not part of this online collection.
Table of Contents
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