RESTRICTION OF FOURIER TRANSFORMS TO CURVES AND RELATED OSCILLATORY INTEGRALS
SCIE
SCOPUS
- Title
- RESTRICTION OF FOURIER TRANSFORMS TO CURVES AND RELATED OSCILLATORY INTEGRALS
- Authors
- Bak, JG; Oberlin, DM; Seeger, A
- Date Issued
- 2009-04
- Publisher
- JOHNS HOPKINS UNIV PRESS
- Abstract
- We prove sharp endpoint results for the Fourier restriction operator associated to nondegenerate curves in R-d, d >= 3, and related estimates for oscillatory integral operators. Moreover, for some larger classes of curves in Rd we obtain sharp uniform L-p -> L-q bounds with respect to affine arclength measure, thereby resolving a problem of Drury and Marshall.
- Keywords
- DEGENERATE CURVES; LACUNARY DIRECTIONS; LINEAR-OPERATORS; DIFFERENTIATION; CONVERGENCE; MULTIPLIERS; THEOREMS; AFFINE; R2
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/28408
- DOI
- 10.1353/ajm.0.0044
- ISSN
- 0002-9327
- Article Type
- Article
- Citation
- AMERICAN JOURNAL OF MATHEMATICS, vol. 131, no. 2, page. 277 - 311, 2009-04
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