Cauchy Integral Operators Involving Higher Order Lipschitz Classes in the Poly-Analytic Function Theory

Abstract:

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.

Año de publicación:

2017

Keywords:

• Poly-analytic functions
• Cauchy integral operators
• Lipschitz classes

Fuente:

scopus