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Southeastern Analysis Meeting
March 5-9, 2008
Vanderbilt University
Nashville, Tennessee, USA

Organizers
Brett Wick, Daoxing Xia, Dechao Zheng

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Sharp L2 inequalities for Dirac type operators
by
John Ryan
University of Arkansas
Coauthors: Alexander Balinsky (Cardiff)

The spectrum of the conformal Dirac operator on the n-sphere is used to obtain sharp L^2 inequalities for this operator and several related operators including the conformal Laplacian and Paenitz operator. Stereographic projections are used to obtain similar inequalities in R^n. This spectrum is also used to explain the break down of related sharp inequalities in even dimensions including sharp inequalities for the bi-Laplacian in four dimensions.

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Date received: January 15, 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 # cavq-14.