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A Bimonogenic Cauchy Transform on Higher Order Lipschitz Classes
ArticleAbstract: We prove that a Cauchy transform naturally arising for bimonogenic Clifford algebra valued functionsPalabras claves:Bimonogenic functions, Cauchy transform, higher order Lipschitz classesAutores:De la Cruz-Toranzo L., García A.M., García T.M., Reyes J.B., Ricardo Abreu BlayaFuentes:scopusCauchy 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:scopusOn the Plemelj–Privalov theorem in Clifford analysis involving higher order Lipschitz classes
ArticleAbstract: The main purpose of this work is to prove that the higher order Lipschitz classes behave invariant uPalabras claves:Clifford Cauchy transform, higher order Lipschitz classes, Polymonogenic functionsAutores:De la Cruz-Toranzo L., 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