A sharp trilinear inequality related to Fourier restriction on the circle

被引：16

作者：

Carneiro, Emanuel ^{[1
]}

Foschi, Damiano ^{[2
]}

Oliveira e Silva, Diogo ^{[3
]}

Thiele, Christoph ^{[3
]}

机构：

[1] Inst Nacl Matemat Pura & Aplicada, IMPA, Estr Dona Castorina 110, BR-22460320 Rio De Janeiro, RJ, Brazil

[2] Univ Ferrara, Dipartimento Matemat & Informat, Via Macchiavelli 30, I-44121 Ferrara, Italy

[3] Univ Bonn, Hausdorff Ctr Math, Endenicher Allee 60, D-53115 Bonn, Germany

来源：

REVISTA MATEMATICA IBEROAMERICANA | 2017年 / 33卷 / 04期

关键词：

Circle; Fourier restriction; sharp inequalities; extremizers; convolution of surface measures; Bessel functions; STRICHARTZ INEQUALITIES; WAVE-EQUATION; MAXIMIZERS; EXISTENCE; EXTREMIZERS; MONOTONICITY;

D O I：

10.4171/RMI/978

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we prove a sharp trilinear inequality which is motivated by a program to obtain the sharp form of the L-2-L-6 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.

引用

页码：1463 / 1486

页数：24

共 32 条

[1] On sharp bilinear Strichartz estimates of Ozawa-Tsutsumi type [J].