|
Organizers |
Norm Estimates for the Maximal Operator and Green's Operator
by
Shusen Ding
Seattle University, Seattle, WA 98122
The Hardy-Littlewood maximal operator and Green's operator have been playing an important role in many fields of science and mathematics. For example, Green's operator is widely used in physics, potential theory and nonlinear elasticity, etc. The maximal operator is an effective tool in analysis which has found many applications in different areas of mathematics, including harmonic analysis and the theory of singular integrals and partial differential equations.
In this presentation, we will first develop some estimates related to the Hardy-Littlewood maximal operator and the sharp maximal operator. Then, we study the relationship between the norms of these two operators. Finally, we will study the compositions of these two opeerators with other operators, such as the homotopy operator and the differential operator.
Date received: February 5, 2008
Copyright © 2008 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cavk-95.