PDE Seminar Abstracts

Commutators, factorizations and function spaces associated with operators

Ji Li
Macquarie University
Mon 3rd Apr 2017, 2-3pm, Carslaw Room 829 (AGR)

Abstract

In this talk we will discuss the connection between function theory and operator theory by showing that certain operator theory concepts have natural analogues in function theory. This will be motivated by examples in spaces of analytic functions, results from harmonic analysis and partial differential equations. In particular, we will discuss how to characterize certain function spaces related to second order differential operators in terms of cancellation conditions.