Weighted sharp boundedness for multilinear commutators

  • Xu Hong
  • Lanzhe Liu
  • Jiasheng Zeng

Abstract

In this paper, the sharp estimates for some multilinear commutators related to certain sublinear integral operators are obtained. The operators include the Littlewood - Paley operator and the Marcinkiewicz operator. As application, we obtain the weighted $L^p (p > 1)$ inequalities and $L \log L$-type estimate for the multilinear commutators.
Published
25.10.2007
How to Cite
HongX., LiuL., and Zeng J. “Weighted Sharp Boundedness for Multilinear Commutators”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 59, no. 10, Oct. 2007, pp. 1419–1431, https://umj.imath.kiev.ua/index.php/umj/article/view/3400.
Section
Research articles