Plemelj Projection Operators over Domain Manifolds

Details Plemelj Projection Operators over Domain Manifolds Plemelj Projection Operators over Domain Manifolds

1998-05-07

arxiv.org/abs/math/9805038v1

Mathematics

Complex Variables

16 pages e-mail address: jryan@comp.uark.edu Key words: Dirac operators, singular integral operators, Hardy spaces, Plemelj op

Scientific paper

Plemelj projection operators are introduced for spaces of square integrable functions defined over the boundaries of a class of compact real n-dimensional manifolds lying in C^n. These manifolds posses many properties similar to domains in R^n, and are consequently called domain manifolds. The key ingredients used here are techniques from both real and complex Clifford analysis. Analogues of the Kerzman-Stein kernel and Szego projection operators ar introduced, and their conformal covariance is described.

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