Multiple Weighted Estimates for Multilinear Commutators of Multilinear Singular Integrals with Generalized Kernels

TL;DR

This paper proves weighted boundedness results for multilinear commutators of singular integral operators with generalized kernels, extending previous results to more general kernel classes and multiple weights.

Contribution

It introduces new weighted boundedness results for multilinear commutators with generalized kernels, broadening the scope beyond standard and Dini kernels.

Findings

Weighted Lp boundedness established for multilinear commutators.

Results generalize previous work to generalized kernels and multiple weights.

Extends the theory of multilinear singular integrals with broader kernel classes.

Abstract

In this paper, the weighted Lp boundedness of multilinear commutators and iterated commutators of multilinear singular integral operators with generalized kernels is established, where the weight is multiple weight. Our results are generalizations of the corresponding results for multilinear singular integral operators with standard kernels and Dini kernels.