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The Plemelj–Privalov theorem in polyanalytic function theory

Abstract:

In this paper we prove that the higher order Lipschitz classes behave invariant under the action of a singular integral operator naturally arising in polyanalytic function theory. This result provides a generalization of the well-known theorem by Joseph Plemelj [16] and Ivan Privalov [17].

Año de publicación:

2018

Keywords:

  • Singular integral operator
  • Polyanalytic functions
  • Lipschitz classes

Fuente:

scopusscopus

Tipo de documento:

Article

Estado:

Acceso abierto

Áreas de conocimiento:

    Áreas temáticas:

    • Matemáticas
    • Análisis

    Contribuidores:

    Reyes J.B.Reyes J.B.
    Ricardo Abreu BlayaRicardo Abreu Blaya
    De la Cruz-Toranzo L.De la Cruz-Toranzo L.