Some Rarita–Schwinger Type Operators

Abstract

In this paper we study a generalization of the classical Rarita–Schwinger type operators and construct their fundamental solutions. We give some basic integral formulas related to these operators. We also establish that the projection operators appearing in the Rarita–Schwinger operators and the Rarita–Schwinger equations are conformally invariant. We further obtain the intertwining operators for other operators related to the Rarita–Schwinger operators under actions of the conformal group.