Nonisotropic Balls and Metrics

Authors

Christine Carracino, Richard Stockton College of New Jersey

Document Type

Presentation Abstract

Presentation Date

4-19-2007

Abstract

One standard type of singular integral is one whose integral kernel K satisfies the estimate ∣K(x₁y)∣≤c∣B(x,δ)∣^-1, where B(x,δ) is the ball centered at x with radius δ 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.

Additional Details

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

Recommended Citation

Carracino, Christine, "Nonisotropic Balls and Metrics" (2007). Colloquia of the Department of Mathematical Sciences. 253.
https://scholarworks.umt.edu/mathcolloquia/253