Multilinear square functions and multiple weights

  • Loukas Grafakos
  • Parasar Mohanty
  • Saurabh Shrivastava

Abstract

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.

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Published
2019-01-13
How to Cite
Grafakos, L., Mohanty, P., & Shrivastava, S. (2019). Multilinear square functions and multiple weights. MATHEMATICA SCANDINAVICA, 124(1), 149-160. https://doi.org/10.7146/math.scand.a-105504
Section
Articles