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arXiv · 1108.0917

Bellman function technique for multilinear estimates and an application to generalized paraproducts

Vjekoslav Kovač
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Abstract

We prove L^p estimates for a class of two-dimensional multilinear forms that naturally generalize (dyadic variants of) both classical paraproducts and the twisted paraproduct introduced in [5] and studied in [1] and [6]. The method we use builds on the approach from [6] and we present it as a rather general technique for proving estimates on dyadic multilinear operators. In the particular application to "generalized paraproducts" this method is combined with combinatorics of integer partitions.

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Vjekoslav Kovač. 2011-08-03. Bellman function technique for multilinear estimates and an application to generalized paraproducts. https://doi.org/10.1512/iumj.2011.60.4784

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