A Remark on Littlewood-Paley projections

Abstract

We establish the kernel estimates for the Littlewood-Paley projections associated with a Schrödinger operator H=-Δ+V in \mathbb{R}^3 for a large class of short-range potentials V(x). As a corollary, we prove the homogeneous Sobolev inequality.

The main result is included in the paper with The Anh Bui and Xuan Thinh Duong

References in corpus (2)

• Dispersive estimates for Schrodinger operators in dimensions one and three
• Structure of wave operators in R^3