On an endpoint mapping property for certain bilinear pseudodifferential operators

Analysis Seminar
Wednesday, April 1, 2015 - 2:00pm for 1 hour (actually 50 minutes)
Skiles 005
Virginia Naibo – Kansas State University
Brett Wick
The main result to be discussed will be the boundedness from $L^\infty \times L^\infty$ into $BMO$ of bilinear pseudodifferential operators with symbols in a range of bilinear H\"ormander classes of critical order. Such boundedness property is achieved by means of new continuity results for bilinear operators with symbols in certain classes and a new pointwise inequality relating bilinear operators and maximal functions. The role played by these estimates within the general theory will be addressed.