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Cauchy integral operators involving higher order Lipschitz classes in the poly-analytic function theory. (English) Zbl 1375.30061

Summary: In this note, we consider poly-analytic Cauchy integral operators introduced in a rather natural way on the higher order Lipschitz classes. We prove some boundary properties of the function represented by such an integral operator in the general context of rectifiable Jordan curves.

MSC:

30G20 Generalizations of Bers and Vekua type (pseudoanalytic, \(p\)-analytic, etc.)
30E25 Boundary value problems in the complex plane
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