Geodesic
Weighted Restriction for Curves
Canadian mathematical bulletin, Tome 36 (1993) no. 1, pp. 87-95

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DOI

We prove weighted norm inequalities for the Fourier transform of the form where v is a nonnegative weight function on Rd and ψ: [— 1,1 ] —> Rd 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.
DOI : 10.4153/CMB-1993-013-5
Mots-clés : 42B10, Fourier transform, restriction theorems, weighted norm inequalities 
Lakey, Joseph D. Weighted Restriction for Curves. Canadian mathematical bulletin, Tome 36 (1993) no. 1, pp. 87-95. doi: 10.4153/CMB-1993-013-5
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     title = {Weighted {Restriction} for {Curves}},
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     year = {1993},
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     doi = {10.4153/CMB-1993-013-5},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1993-013-5/}
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