English

Maximal operator for the higher order Calder\'on commutator

Classical Analysis and ODEs 2020-09-16 v1

Abstract

In this paper, we investigate the weighted multilinear boundedness properties of the maximal higher order Calder\'on commutator for the dimensions larger than two. We establish all weighted multilinear estimates on the product of the Lp(Rd,w)L^p(\mathbb{R}^d,w) space, including some peculiar endpoint estimates of the higher dimensional Calder\'on commutator.

Keywords

Cite

@article{arxiv.1908.11594,
  title  = {Maximal operator for the higher order Calder\'on commutator},
  author = {Xudong Lai},
  journal= {arXiv preprint arXiv:1908.11594},
  year   = {2020}
}

Comments

36 pages, Canadian Journal of Mathematics, to appear. arXiv admin note: text overlap with arXiv:1712.09020

R2 v1 2026-06-23T11:00:45.417Z