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Convolution with measures on flat curves in low dimensions |
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| Authors: | Daniel M. Oberlin |
| Affiliation: | Department of Mathematics, Florida State University, Tallahassee, FL 32306, United States |
| Abstract: | We prove Lp→Lq convolution estimates for the affine arclength measure on certain flat curves in Rd when d∈{2,3,4}. For d=2,3, we also establish certain related Lorentz space estimates. |
| Keywords: | Convolution Affine arclength Flat curve |
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