The weak-type (1,1) of L \log L homogeneous convolution operators
Classical Analysis and ODEs
2007-05-23 v2
Abstract
We show that a homogeneous convolution kernel on an arbitrary homogeneous group which is L \log L on the unit annulus is bounded on L^p for 1 < p < \infty and is of weak-type (1,1), generalizing the result of Seeger. The proof is in a similar spirit to that of Christ and Rubio de Francia.
Cite
@article{arxiv.math/9903165,
title = {The weak-type (1,1) of L \log L homogeneous convolution operators},
author = {Terence Tao},
journal= {arXiv preprint arXiv:math/9903165},
year = {2007}
}
Comments
28 pages, no figures, to appear Indiana Math J., final version