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Erschienen in:
2011 | OriginalPaper | Buchkapitel
Two-Weight Factorization
verfasst von : David V. Cruz-Uribe, José María Martell, Carlos Pérez
Erschienen in: Weights, Extrapolation and the Theory of Rubio de Francia
Verlag: Springer Basel
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Our primary goal in this chapter is to define the appropriate analogs of
A
1
weights and prove a “reverse factorization” property for pairs of weights that satisfy the
A
p
bump conditions defined in Chapter 5. As we discussed in Chapter 2, reverse factorization is an essential tool in the proof of the Rubio de Francia extrapolation theorem; in the two-weight case these ideas play a similar but less direct role, as we will discuss in Chapter 7.