%0 Journal Article
%T Bellman function technique for multilinear estimates and an application to generalized paraproducts
%A Vjekoslav Kova£¿
%J Mathematics
%D 2011
%I arXiv
%R 10.1512/iumj.2011.60.4784
%X 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.
%U http://arxiv.org/abs/1108.0917v1