| Speaker: Prof. El Maati Ouhabaz Affiliation: University of Bordeax Time: 14:00 Thursday, 23 January, 2020 Location: 303-257 |
| We extend the classical Bernstein inequality to a general setting including the Laplace-Beltrami operator, Schrödinger operators and divergence form elliptic operators on Riemannian manifolds or domains. We prove L_p Bernstein inequalities as well as a “reverse inequality”. Our approach is based on the heat kernel and uses techniques from harmonic analysis. In addition, our results reveal a link between the L_p-Bernstein inequality and the boundedness on L_p of the Riesz transform. (Joint work with. R. Imekraz, Univ. Bordeaux). |