English

Restricted testing conditions for the multilinear maximal operator

Classical Analysis and ODEs 2021-06-08 v3

Abstract

Restricted testing conditions were considered recently. For the maximal operator, Li and Sawyer first obtained parental testing condition. Later, they showed that it suffices to restrict testing to doubling cubes. Chen and Lacey gave a similar restricted testing condition. In our paper, we discuss a version of the latter in the multilinear setting.

Cite

@article{arxiv.1909.06079,
  title  = {Restricted testing conditions for the multilinear maximal operator},
  author = {Ruijuan Chen and Wei Chen and Fanliang Kong},
  journal= {arXiv preprint arXiv:1909.06079},
  year   = {2021}
}

Comments

10 pages,incorporated referee comments

R2 v1 2026-06-23T11:14:17.806Z