Mixed $A_2$-$A_\infty$ estimates of the non-homogeneous vector square function with matrix weights

TL;DR

This paper extends sharp $A_2$-$A_ Infty$ estimates with matrix weights to non-homogeneous settings, broadening the applicability of previous harmonic analysis results.

Contribution

It introduces non-homogeneous estimates for the vector square function with matrix weights, advancing the theory beyond homogeneous cases.

Findings

Established sharp $A_2$-$A_ Infty$ bounds in non-homogeneous contexts

Extended matrix weight analysis to non-homogeneous operators

Provided new techniques for non-homogeneous harmonic analysis

Abstract

This paper extends the results from arXiv:1702.04569 about sharp $A_2$-$A_\infty$ estimates with matrix weights to the non-homogeneous situation.