Singular maximal functions and Radon transforms near L^1
Classical Analysis and ODEs
2007-05-23 v1
Abstract
We show that some singular maximal functions and singular Radon transforms satisfy a weak type inequality. Examples include the maximal function and Hilbert transform associated to averages along a parabola. The weak type inequality yields pointwise convergence results for functions which are locally in .
Cite
@article{arxiv.math/0205156,
title = {Singular maximal functions and Radon transforms near L^1},
author = {Andreas Seeger and Terence Tao and James Wright},
journal= {arXiv preprint arXiv:math/0205156},
year = {2007}
}
Comments
32 pages