Duv'an Cardona

Kernel estimates for the Weyl-H\"ormander calculus, Weak (1,1) boundedness and other regularity properties

We provide kernel estimates for pseudo-differential operators in the $S(m,g)$ Weyl-H\"ormander calculus classes. These new results lead to boundedness theorems like the weak (1,1) type for these classes and the boundedness of these operators from Hardy spaces to Lebesgue spaces $L^p$. We prove that under a suitable hyp...