학술저널
RESTRICTION ESTIMATES FOR ARBITRARY CONVEX CURVES IN R2
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 23, No. 2
-
2010.06197 - 206 (10 pages)
- 2
We study the restriction estimate of Fourier transform to arbitrary convex curves in R2 with no regularity assumption. Assuming that the convex curve has the lower bound of curvatures, we extend the restriction results from smooth convex curves to ar-bitrary convex curves. Our work has been motivated by the lecture notes of Terence Tao. The bilinear approach and geometric obser-vations play an important role.
1. Introduction
2. Preliminary reduction and geometric facts
3. Proof of Theorem 1.1
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