Behaviour of Schrödinger Riesz transforms over smoothness spaces

Bruno Bongioanni, Eleonor Harboure, Pablo Quijano

As it was shown by Shen, the Riesz transforms associated to the Schrödinger operator $L=-\Delta +V$ are not bounded on $L^p({\mathbb{R}}^d)$-spaces for all $p,1<p<\infty$, under the only…