On some operator-valued Fourier pseudo-multipliers associated to Grushin operators

This is a continuation of our work [2,3] where we have initiated the study of sparse domination and quantitative weighted estimates for Grushin pseudo-multipliers. In this article, we further extend this analysis to study analogous estimates for a family of operator-valued Fourier pseudo-multipliers associated to Grushin operators G=−Δx′−|x′|2Δx″ on Rn1+n2.