Characterizations of Hankel multipliers
Classical Analysis and ODEs
2010-03-15 v2
Abstract
We give characterizations of radial Fourier multipliers as acting on radial L^p-functions, 1<p<2d/(d+1), in terms of Lebesgue space norms for Fourier localized pieces of the convolution kernel. This is a special case of corresponding results for general Hankel multipliers. Besides L^p-L^q bounds we also characterize weak type inequalities and intermediate inequalities involving Lorentz spaces. Applications include results on interpolation of multiplier spaces.
Keywords
Cite
@article{arxiv.0708.2828,
title = {Characterizations of Hankel multipliers},
author = {Gustavo Garrigos and Andreas Seeger},
journal= {arXiv preprint arXiv:0708.2828},
year = {2010}
}
Comments
Final revised version to appear in Mathematische Annalen