Event Detail

Event Type: 
Analysis Seminar
Date/Time: 
Monday, May 12, 2014 - 05:00
Location: 
Kidder 280

Speaker Info

Institution: 
IMPA - Instituto de Matematica Pura e Aplicada
Abstract: 

In this talk I will discuss some sharp forms of adjoint Fourier restriction inequalities on the sphere.  These were unknown until the recent works of Christ-Shao and Foschi for the 2-d sphere (2012 and 2013).  We extend the sharp inequalities to several other cases, completely characterizing the complex-valued extremizers.  We also consider some sharp multilinear weighted restriction inequalities, with weights related to the k-fold convolution of the surface measure.  This is a joint work with Diogo Oliveira e Silva (HCM-Bonn).