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Integral and Maximal Operators in Spin Geometry
by
Mircea Martin
Baker University, USA
The goal of this talk is to show that the singular integral operators associated with the fundamental solutions of Dirac operators on Dirac bundles are controlled by certain maximal operators. The inequality that quantifies the link involves an absolute constant that can be explicitly computed. As consequences of that inequality we will derive several quantitative Hartogs-Rosenthal-type theorems for Dirac operators concerning monogenic approximation on compact sets with respect to different natural norms on the space of sections of a Dirac bundle.
Date received: April 5, 2005
Copyright © 2005 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 # caqq-14.