Resumen de Multilinear square functions and multiple weights

Loukas Grafakos, Parasar Mohanty, Saurabh Shrivastava

• In this paper we prove weighted estimates for a class of smooth multilinear square functions with respect to multilinear AP⃗ weights. In particular, we establish weighted estimates for the smooth multilinear square functions associated with disjoint cubes of equivalent side-lengths. As a consequence, for this particular class of multilinear square functions, we provide an affirmative answer to a question raised by Benea and Bernicot (Forum Math. Sigma 4, 2016, e26) about unweighted estimates for smooth bilinear square functions