How Much, or Little, Is Needed for Harmonic Analysis?
Speaker: Tuomas Hytonen
Location: Warren Weaver Hall 1302
Date: Thursday, March 22, 2012, 11 a.m.
One aspect of my recent work has been developing harmonic analysis under minimal assumptions on the space on which the considered functions are defined. Perhaps surprisingly, some classical methods, which at first sight seem to rely heavily on the structure and symmetries of the Euclidean space, can actually be extended to very general settings. On the other hand, some methods developed to tackle with abstract spaces, have shown to be instrumental for getting sharp results for classical inequalities on the Euclidean space.