Title: Domination by positive sparse forms and outer L^p-embeddings for the wave packet transforms
Abstract: In recent joint work with Amalia Culiuc and Yumeng Ou
http://arxiv.org/abs/1603.05317
we establish a uniform domination of the family of modulation invariant singular multipliers, including the bilinear Hilbert transforms, by positive sparse forms involving $L^p$ averages. Our argument revolves around a localized outer-L^p embedding for the wave packet transform which is proved by two of us in
http://arxiv.org/abs/1510.06433 (Journal d'Analyse, to appear)
This poster illustrates the main elements of the proof of the embedding theorem.