Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 
 

 

A convolution estimate for a measure on a curve in $\mathbb R^4$. II


Author: Daniel M. Oberlin
Journal: Proc. Amer. Math. Soc. 127 (1999), 217-221
MSC (1991): Primary 42B15
DOI: https://doi.org/10.1090/S0002-9939-99-04690-0
MathSciNet review: 1476381
Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: This paper contains almost-sharp $L^p-L^q$ convolution estimates for measures on the curve $(t,t^2,t^3,t^4)$ in $\mathbb R^4$.


References [Enhancements On Off] (What's this?)

  • [C1] M. Christ, On the restriction of the Fourier transform to curves: endpoint results and the degenerate case, Trans. Amer. Math. Soc. 287 (1985), 223-238. MR 87b:42018
  • [C2] M. Christ, Convolution, Curvature and Combinatorics, a Case Study, preprint.
  • [GSW] A. Greenleaf, A. Seeger, and S. Wainger, On x-ray transforms for rigid line complexes and integrals over curves in $\mathbb R^4$, preprint.
  • [O1] D. Oberlin, A convolution estimate for a measure on a curve in $\mathbb R^4$, Proc. Amer. Math. Soc. 125 (1997), 1355-1361. MR 97g:42009
  • [O2] D. Oberlin, Multilinear proofs for two theorems on circular averages, Colloq. Math. 63 (1992), 187-190. MR 93m:42005
  • [O3] D. Oberlin, Oscillatory integrals with polynomial phase, Math. Scand. 69 (1991), 45-56.

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 42B15

Retrieve articles in all journals with MSC (1991): 42B15


Additional Information

Daniel M. Oberlin
Affiliation: Department of Mathematics, Florida State University, Tallahassee, Florida 32306-4510

DOI: https://doi.org/10.1090/S0002-9939-99-04690-0
Received by editor(s): May 12, 1997
Additional Notes: The author was partially supported by a grant from the National Science Foundation
Communicated by: Christopher D. Sogge
Article copyright: © Copyright 1999 American Mathematical Society

American Mathematical Society