# Multilinear square functions and multiple weights

@article{Grafakos2019MultilinearSF,
title={Multilinear square functions and multiple weights},
author={Loukas Grafakos and Parasar Mohanty and Saurabh Shrivastava},
journal={MATHEMATICA SCANDINAVICA},
year={2019}
}
• Published 13 January 2019
• Mathematics
• MATHEMATICA SCANDINAVICA
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…

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