Event Type:

Analysis Seminar

Date/Time:

Monday, May 12, 2014 - 05:00

Location:

Kidder 280

Guest Speaker:

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).