Speaker: Rakesh Balhara
Date: 4th September 2018
Venue: Lecture Hall 1, Department of Mathematics
We will consider an extension problem and relate its solution to the fractional powers of the Grushin operator. The same stuff has been done for Laplacian on R^n, so we will start with Laplacian case in order to understand this technique of defining fractional power of an operator via extension problem. Further we will derive trace-Hardy inequality and subsequently Hardy’s inequality for the fractional power of Grushin operator using the extension problem technique.
Prerequisites: Basic Functional Analysis