$L^p$ improving bounds for averages along curves
Classical Analysis and ODEs
2007-05-23 v3
Abstract
We establish local mapping properties for averages on curves. The exponents are sharp except for endpoints.
Cite
@article{arxiv.math/0108137,
title = {$L^p$ improving bounds for averages along curves},
author = {Terence Tao and Jim Wright},
journal= {arXiv preprint arXiv:math/0108137},
year = {2007}
}
Comments
37 pages, simplified argument (no further need for algebraic complexity theory!), to appear, JAMS