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Weighted restriction for curves
| Content Provider | Semantic Scholar |
|---|---|
| Author | Lakey, Joseph D. |
| Copyright Year | 1993 |
| Abstract | We prove weighted norm inequalities for the Fourier transform of the form V/ G S(R), (f_s \fm))\ dt) ~ < c(fRd \f(x)fv(x)dxY, where v is a nonnegative weight function on R and I/J: [— 1,1 ] —• R is a nondegenerate curve. Our results generalize unweighted (i.e. v = 1) restriction theorems of M. Christ, and two-dimensional weighted restriction theorems of C. Carton-Lebrun and H. Heinig. |
| Starting Page | 87 |
| Ending Page | 95 |
| Page Count | 9 |
| File Format | PDF HTM / HTML |
| DOI | 10.4153/cmb-1993-013-5 |
| Volume Number | 36 |
| Alternate Webpage(s) | https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S0008439500012364 |
| Alternate Webpage(s) | https://doi.org/10.4153/cmb-1993-013-5 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
