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A sharp trilinear inequality related to Fourier restriction on the circle.
- Source :
-
Revista Mathematica Iberoamericana . 2017, Vol. 33 Issue 4, p1463-1486. 24p. - Publication Year :
- 2017
-
Abstract
- In this paper we prove a sharp trilinear inequality which is motivated by a program to obtain the sharp form of the L²-L6 Tomas- Stein adjoint restriction inequality on the circle. Our method uses intricate estimates for integrals of sixfold products of Bessel functions developed in a companion paper. We also establish that constants are local extremizers of the Tomas-Stein adjoint restriction inequality as well as of another inequality appearing in the program. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 02132230
- Volume :
- 33
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Revista Mathematica Iberoamericana
- Publication Type :
- Academic Journal
- Accession number :
- 126353383
- Full Text :
- https://doi.org/10.4171/RMI/978