Uniform $L^p$-improving for weighted averages on curves
Classical Analysis and ODEs
2017-10-24 v1
Abstract
We define variable parameter analogues of the affine arclength measure on curves and prove near-optimal -improving estimates for associated multilinear generalized Radon transforms. Some of our results are new even in the convolution case.
Keywords
Cite
@article{arxiv.1710.07677,
title = {Uniform $L^p$-improving for weighted averages on curves},
author = {Betsy Stovall},
journal= {arXiv preprint arXiv:1710.07677},
year = {2017}
}
Comments
This is a preprint version of a published article. The final version is in Anal. PDE 7 (2014), no. 5, 1109-1136