English

Sparse domination theorem for multilinear singular integral operators with $L^{r}$-H\"ormander condition

Classical Analysis and ODEs 2018-05-15 v3

Abstract

In this note, we show that if TT is a multilinear singular integral operator associated with a kernel satisfies the so-called multilinear LrL^{r}-H\"ormander condition, then TT can be dominated by multilinear sparse operators.

Keywords

Cite

@article{arxiv.1606.03925,
  title  = {Sparse domination theorem for multilinear singular integral operators with $L^{r}$-H\"ormander condition},
  author = {Kangwei Li},
  journal= {arXiv preprint arXiv:1606.03925},
  year   = {2018}
}

Comments

13 pages. Updated according to the referees' suggestions, to appear in Michigan Math. J

R2 v1 2026-06-22T14:23:55.195Z