Uniform L^p-improving for weighted averages on curves
classification
🧮 math.CA
keywords
curvesimprovingaffineanaloguesarclengthassociatedaveragescase
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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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