Analysis seminar: Cases of equality for certain rearrangement inequalities
20 April 2015, 4.00 PM - 20 April 2015, 5.00 PM
Taryn Flock, University of Birmingham
Howard House, 4th floor seminar room
Abstract:
Rearrangement inequalities are a simple but powerful tool in Analysis. In this talk we will discuss the Riesz rearrangement inequality and a generalization due to Brascamp, Lieb, and Luttinger. Cases of equality for Riesz's inequality were characterized by A. Burchard. In general, while some cases of equality are known, a full characterization remains open. In a special case, we show uniqueness of known cases of equality. The work discussed is joint work with M. Christ.
Contact information
Organisers: Michiel van den Berg, John Mackay