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Paraproducts and commutators of martingale transforms

Authors: Rodrigo Bañuelos and Andrew G. Bennett
Journal: Proc. Amer. Math. Soc. 103 (1988), 1226-1234
MSC: Primary 60G46; Secondary 60G44
MathSciNet review: 955015
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Abstract: We define paraproducts in a probabilistic setting and study their boundedness properties. As an application of paraproduct techniques, we prove a generalization of the commutator result of Coifman-Rochberg-Weiss [6].

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Article copyright: © Copyright 1988 American Mathematical Society