Kernel estimates for the Weyl-Hörmander calculus, Weak (1,1) boundedness and other regularity properties

Duván Cardona, Julio Delgado, Manuel Martínez-Flores

We provide kernel estimates for pseudo-differential operators in the $S(m,g)$ Weyl-Hörmander calculus classes. These new results lead to boundedness theorems like the weak (1,1) ty…