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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: 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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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