Weyl transform on some Nonunimodular Groups

For $$p>2$$ , B. Simon[16] studied the unboundedness of the Weyl transform for symbol belonging to $$L^p({\mathbb {R}^n\times \mathbb {R}^n})$$ . In this article, we study the analog of unboundedness of the Weyl transform on some nonunimodular groups, namely, the affine group, similitude group, and affine Poincaré group.