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On the connection between weighted norm inequalities, commutators and real interpolation


About this Title

Jesús Bastero, Mario Milman and Francisco J. Ruiz

Publication: Memoirs of the American Mathematical Society
Publication Year 2001: Volume 154, Number 731
ISBNs: 978-0-8218-2734-5 (print); 978-1-4704-0324-9 (online)
DOI: http://dx.doi.org/10.1090/memo/0731
MathSciNet review: 1848159
MSC (2000): Primary 46E15; Secondary 42B20, 46M35, 47B37, 47B47

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Table of Contents


Chapters

  • 1. Introduction
  • 2. Calderón weights
  • 3. Applications to real interpolation: reiteration and extrapolation
  • 4. Other classes of weights
  • 5. Extrapolation of weighted norm inequalities via extrapolation theory
  • 6. Applications to function spaces
  • 7. Commutators defined by the -method
  • 8. Generalized commutators
  • 9. The quasi Banach case
  • 10. Applications to harmonic analysis
  • 11. BMO type spaces associated to Calderón weights
  • 12. Atomic decompositions and duality