Contents 1. Introduction 1 2. Calderon weights 7 3. Applications to real interpolation: reiteration and extrapolation 17 4. Other classes of weights 24 5. Extrapolation of weighted norm inequalities via extrapolation theory 28 6. Applications to function spaces 33 7. Commutators defined by the K-method 37 8. Generalized commutators 41 9. The quasi Banach case 50 10. Applications to Harmonic Analysis 54 11. BMO type spaces associated to Calderon weights 64 12. Atomic decompositions and duality 71 References 77
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