Singular Integral Operator Involving Higher Order Lipschitz Classes

Juan Bory-Reyes, Lianet De la Cruz-Toranzo, Ricardo Abreu-Blaya

Research output: Contribution to journalArticlepeer-review

8 Scopus citations

Abstract

In this paper, we investigate a singular integral operator with polyanalytic Cauchy kernel. In particular, we will prove that the higher order Lipschitz classes (of order 1 + α) behave invariant under the action of that operator.

Original languageEnglish
Article number38
JournalMediterranean Journal of Mathematics
Volume14
Issue number2
DOIs
StatePublished - 1 Apr 2017

Keywords

  • Lipschitz classes
  • Singular integral operator
  • polyanalytic functions

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