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Cauchy Integral Operators Involving Higher Order Lipschitz Classes in the Poly-Analytic Function Theory
ArticleAbstract: In this note, we consider poly-analytic Cauchy integral operators introduced in a rather natural wayPalabras claves:Cauchy integral operators, Lipschitz classes, Poly-analytic functionsAutores:De la Cruz-Toranzo L., Gómez-Santiesteban T.R., Ramírez-Leyva Y., Reyes J.B., Ricardo Abreu BlayaFuentes:scopusSingular Integral Operator Involving Higher Order Lipschitz Classes
ArticleAbstract: In this paper, we investigate a singular integral operator with polyanalytic Cauchy kernel. In partiPalabras claves:Lipschitz classes, Polyanalytic functions, Singular integral operatorAutores:De la Cruz-Toranzo L., Reyes J.B., Ricardo Abreu BlayaFuentes:scopusThe Plemelj–Privalov theorem in polyanalytic function theory
ArticleAbstract: In this paper we prove that the higher order Lipschitz classes behave invariant under the action ofPalabras claves:Lipschitz classes, Polyanalytic functions, Singular integral operatorAutores:De la Cruz-Toranzo L., Reyes J.B., Ricardo Abreu BlayaFuentes:scopus