Composition of Haar Paraproducts
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Wick, Brett
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Abstract
Paraproducts are important operators in harmonic analysis
and there are well known characterizations of when an individual
paraproduct is bounded. An interesting question is to characterize
when the composition of two, potentially unbounded, paraproducts have
a bounded composition. In this talk we will give necessary and
sufficient conditions that characterize when the composition of
certain compositions of Haar paraproducts are bounded