Taibleson Lecture: "Classical multiplier theorems and recent improvements"

Speaker: Loukas Grafakos, University of Missouri-Columbia

Abstract: A multiplier operator alters the frequency of input functions/signals via multiplication by a fixed function called a multiplier. Multiplier theorems provide sufficient conditions for multiplier operators to preserve integrability. The classical multiplier theorems of Marcinkiewicz and of Hörmander on Euclidean spaces will be reviewed and comparisons between different versions of these results (and examples) will be given. The main focus of the talk is to discuss recent optimal improvements of these theorems in terms of membership of the multipliers in appropriate scales of Sobolev classes.  

Host: Brett Wick

Tea will be served in room 200 @ 3:30.