TY - JOUR
AU - Loukas Grafakos
AU - Parasar Mohanty
AU - Saurabh Shrivastava
PY - 2019/01/13
Y2 - 2019/02/21
TI - Multilinear square functions and multiple weights
JF - MATHEMATICA SCANDINAVICA
JA - MathScand
VL - 124
IS - 1
SE - Articles
DO - 10.7146/math.scand.a-105504
UR - https://www.mscand.dk/article/view/105504
AB - In this paper we prove weighted estimates for a class of smooth multilinear square functions with respect to multilinear $A_{\vec P}$ 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.
ER -