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.
Citation
Betsy Stovall. "Uniform $L^p$-improving for weighted averages on curves." Anal. PDE 7 (5) 1109 - 1136, 2014. https://doi.org/10.2140/apde.2014.7.1109
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