On Conic Fourier Multipliers
Classical Analysis and ODEs
2013-06-06 v3
Abstract
We prove a weighted inequality which controls conic Fourier multiplier operators in terms of lacunary directional maximal operators. By bounding the maximal operators, this enables us to conclude that the multiplier operators are bounded on with .
Cite
@article{arxiv.1304.1324,
title = {On Conic Fourier Multipliers},
author = {Antonio Córdoba and Keith M. Rogers},
journal= {arXiv preprint arXiv:1304.1324},
year = {2013}
}
Comments
11 pages, estimates made more precise and references added