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Erschienen in:
2011 | OriginalPaper | Buchkapitel
Further Applications of Two-Weight Extrapolation
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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In this chapter we continue to apply the extrapolation theorems in Chapters 7 and 8 to the theory of two-weight norm inequalities. We consider two operators: the dyadic square function and the vector-valued maximal operator. There are two different approaches to these operators. On the one hand, they can be treated as vector-valued singular integrals, and so the natural conjectures for the weak and strong type inequalities would be the analogs of those for singular integrals in Section 9.2.