Improved bounds for Stein's square functions
Classical Analysis and ODEs
2014-02-26 v2 Analysis of PDEs
Abstract
We prove a weighted norm inequality for the maximal Bochner--Riesz operator and the associated square-function. This yields new bounds on classes of radial Fourier multipliers for with , as well as space-time regularity results for the wave and Schr\"odinger equations.
Cite
@article{arxiv.1012.2159,
title = {Improved bounds for Stein's square functions},
author = {Sanghyuk Lee and Keith M. Rogers and Andreas Seeger},
journal= {arXiv preprint arXiv:1012.2159},
year = {2014}
}