Convolution with measures on flat curves in low dimensions

2009/11/07 by Daniel M. Oberlin, Oberlin, Daniel M.
Computer Science · Mathematics · #Advanced Harmonic Analysis Research #Advanced Mathematical Modeling in Engineering #Geometric Analysis and Curvature Flows #math.CA #msc:42B10

paper · pdf · doi:10.48550/arxiv.0911.1471

arxiv created 2009/11/07 · arxiv updated 2009/12/01

Abstract

We prove convolution estimates for affine arclength measure on certain flat curves in dimensions 2, 3, and 4.

Citations

• Universal L^p improving for averages along polynomial curves in low dimensions

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