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.
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Acknowledgments
This research was partly supported by CAPES/MES-CUBA programs, Project 151/12 and much of the work completed during a stay of Ricardo Abreu Blaya at IMPA, Rio de Janeiro, September 2015. The kind hospitality is gratefully acknowledged. J. Bory Reyes was partially supported by Instituto Politécnico Nacional in the framework of SIP programs.
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Abreu-Blaya, R., Cruz-Toranzo, L.D.l., Gómez-Santiesteban, T.R. et al. Cauchy Integral Operators Involving Higher Order Lipschitz Classes in the Poly-Analytic Function Theory. Bull Braz Math Soc, New Series 48, 253–260 (2017). https://doi.org/10.1007/s00574-016-0013-9
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DOI: https://doi.org/10.1007/s00574-016-0013-9