Dimension free boundedness of Riesz transforms for the Grushin operator

P. K. Sanjay, S. Thangavelu

Let $G=-{\Delta }_{\xi }-|\xi {|}^2\frac{{\partial }^2}{\partial {\eta }^2}$ be the Grushin operator on ${\mathbb{R}}^n\times \mathbb{R}.$ We prove that the Riesz transforms associated to this operator are bounded on $…