Plemelj Formulas for Rarita-Schwinger Type Operators

Abstract

We introduce Plemelj formulas for Rarita-Schwinger operators defined over Lipschitz graphs in \({\mathbb{R}^{n}}\) and their corresponding surfaces on the sphere, S n and real projective spaces. We introduce the corresponding Hardy p-spaces for \({1 < p < \infty}\). We also introduce Rarita-Schwinger analogues of the classical Szego projection operators and Kerzman-Stein formulas.