Analytic Properties of the Conformal Dirac Operator on the Sphere in Clifford Analysis

Abstract

In this paper the conformal Dirac operator on the sphere is defined to be operating on the space of square-integrable Clifford algebra-valued functions. The spinorial Laplacian of order d>0 is defined and used to establish Sobolev embedding theorems.

References in corpus (1)

• Some Sharp L^2 Inequalities for Dirac Type Operators