English

Weighted norm inequalities for multilinear singular integral operators and applications

Functional Analysis 2012-09-03 v1

Abstract

In this paper, weighted norm inequalities with ApA_p weights are established for the multilinear singular integral operators whose kernels satisfy LrL^{r'}-H\"ormander regularity condition. As applications, we recover a weighted estimate for the multilinear Fourier multiplier obtained by Fujita and Tomita, and obtain several new weighted estimates for the multilinear Fourier multiplier as well.

Keywords

Cite

@article{arxiv.1208.6346,
  title  = {Weighted norm inequalities for multilinear singular integral operators and applications},
  author = {Guoen Hu and Chin-Cheng Lin},
  journal= {arXiv preprint arXiv:1208.6346},
  year   = {2012}
}

Comments

21 pages

R2 v1 2026-06-21T21:57:41.514Z