Multilinear square functions and multiple weights

• Loukas Grafakos ^[1] ; Parasar Mohanty ^[2] ; Saurabh Shrivastava ^[3]
  1. [1] University of Missouri

     University of Missouri

     Township of Columbia, Estados Unidos

     
  2. [2] Indian Institutes of Science Education and Research (India)
  3. [3] Indian Institute of Technology Kanpur (India)

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• Localización: Mathematica scandinavica, ISSN 0025-5521, Vol. 124, Nº 1, 2019, págs. 149-160
• Idioma: inglés
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• Resumen

  • 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