English

Two-weight inequalities for multilinear commutators

Classical Analysis and ODEs 2017-10-30 v2

Abstract

We prove Bloom type two-weight inequalities for commutators of multilinear singular integral operators including Calder\'on-Zygmund operators and their dyadic counterparts. Such estimates are further extended to a general higher order multilinear setting. The proof involves a pointwise sparse domination of multilinear commutators.

Keywords

Cite

@article{arxiv.1710.07392,
  title  = {Two-weight inequalities for multilinear commutators},
  author = {Ishwari Kunwar and Yumeng Ou},
  journal= {arXiv preprint arXiv:1710.07392},
  year   = {2017}
}

Comments

19 pages. Several inaccuracies of references are fixed

R2 v1 2026-06-22T22:20:03.764Z