Department of Mathematical Sciences Colloquium Series

Nonisotropic Balls and Metrics

Christine Carracino Richard Stockton College of New Jersey

One standard type of singular integral is one whose integral kernel K satisfies the estimate , where is the ball centered at x with radius equal to the distance between x and y. Such estimates help one obtain boundedness properties of the operator. The distance, and hence the ball, may be Euclidean, or it may be nonisotropic, with different directions carrying different weights. We will discuss how to derive the appropriate family of balls based on vector fields associated to the problem.

Thursday, 19 April 2007 4:10 p.m. in Math 109

Spring 2007 Colloquium Schedule Mathematical Sciences | The University of Montana