A Remark on Littlewood-Paley projections
Analysis of PDEs
2015-09-23 v5 Spectral Theory
Abstract
We establish the kernel estimates for the Littlewood-Paley projections associated with a Schr\"odinger operator H=-\Delta+V in \mathbb{R}^3 for a large class of short-range potentials V(x). As a corollary, we prove the homogeneous Sobolev inequality.
Keywords
Cite
@article{arxiv.1206.4462,
title = {A Remark on Littlewood-Paley projections},
author = {Younghun Hong},
journal= {arXiv preprint arXiv:1206.4462},
year = {2015}
}
Comments
The main result is included in the paper with The Anh Bui and Xuan Thinh Duong