(See past events)
Daniel Spector, National Chiao Tung University in Hsinchu, Taiwan
Friday, January 18 at 4:00pm in Ritter 231 with refreshments beforehand in the Ritter Hall Lobby.
New Directions for Harmonic Analysis on L1
Abstract: Classical work in harmonic analysis has led us to a thorough understanding of the right spaces from the standpoint of singular integral operators, in the most basic setting, Lp spaces and the Hardy space H1. These spaces, in turn, can be used for estimates of integral operators such as the Newtonian and Riesz potentials. Interestingly, in the endpoint p=1 the Hardy space is not necessary to obtain such an estimate, as one can make a weaker assumption and obtain the same strength of conclusion. In this talk we discuss this phenomena, past and present, and give an idea of what might be in its future.