Multilinear commutators in the two-weight setting

TL;DR

This paper extends two-weight commutator estimates to the multilinear setting, fully respecting the multilinear nature and using genuinely multilinear weights, advancing the theoretical understanding of such operators.

Contribution

It introduces a multilinear framework for two-weight commutator estimates, which was not previously addressed in the literature.

Findings

Established multilinear two-weight commutator bounds

Formulated results with genuinely multilinear weights

Enhanced theoretical understanding of multilinear operators

Abstract

We extend the recently much-studied two-weight commutator estimates to the multilinear setting. In contrast to previous results, our result respects the multilinear nature of the problem fully and is formulated with the genuinely multilinear weights.