Endpoint multiplier theorems of Marcinkiewicz type
Classical Analysis and ODEs
2007-05-23 v1
Abstract
We establish sharp (H^1, L^{1,q}) and local (L \log^r L, L^{1,q}) mapping properties for rough one-dimensional multipliers. In particular, we show that the multipliers in the Marcinkiewicz multiplier theorem map H^1 to L^{1,\infty} and L \log^{1/2} L to L^{1,\infty}, and that these estimates are sharp.
Keywords
Cite
@article{arxiv.math/0001050,
title = {Endpoint multiplier theorems of Marcinkiewicz type},
author = {Terence Tao and Jim Wright},
journal= {arXiv preprint arXiv:math/0001050},
year = {2007}
}
Comments
28 pages, no figures, submitted to Revista Mat. Iber