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arXiv · 1710.07677

Uniform $L^p$-improving for weighted averages on curves

Betsy Stovall
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Abstract

We define variable parameter analogues of the affine arclength measure on curves and prove near-optimal $L^p$-improving estimates for associated multilinear generalized Radon transforms. Some of our results are new even in the convolution case.

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Betsy Stovall. 2017-10-20. Uniform $L^p$-improving for weighted averages on curves. https://arxiv.org/abs/1710.07677

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