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A jump problem for β-analytic functions in domains with fractal boundaries
ArticleAbstract: Let γ be a simple closed Jordan curve in the complex plane ℂ, ω+ and ω- the corresponding domains inPalabras claves:-analytic functions, Fractals, jump problem, βAutores:Reyes J.B., Ricardo Abreu Blaya, Vilaire J.M.Fuentes:scopusHyperanalytic Riemann boundary value problem on d-summable closed curves
ArticleAbstract: We are interested in finding solvability conditions for the Riemann boundary value problems for hypePalabras claves:Fractal dimensions, hyperanalytic functions, Riemann boundary value problemAutores:Reyes J.B., Ricardo Abreu Blaya, Vilaire J.M.Fuentes:scopusHypercomplex singular integral equation reduces to two riemann problems
ArticleAbstract: This article is devoted to the study of a hypercomplex singular integral equation, which contains asPalabras claves:Douglis algebra, Riemann problem, Singular integral equationsAutores:Reyes J.B., Ricardo Abreu Blaya, Vilaire J.M.Fuentes:scopusHölder norm of a fractal Hilbert transform in Douglis analysis
ArticleAbstract: We establish an upper bound for the norm of a fractal Hilbert transform in the space of Hölder analyPalabras claves:Fractal dimensions, Hilbert Transform, Hölder functions, hyperanalytic functions, Whitney decompositionAutores:Reyes J.B., Ricardo Abreu Blaya, Vilaire J.M.Fuentes:scopusOn the compactness of the hypercomplex commutator in hölder continuous functions spaces
ArticleAbstract: This paper is devoted to the compactness of the hypercomplex commutator SγMa-MaSγ, where Sγ is the CPalabras claves:Cauchy type integral, Commutators, Douglis algebrasAutores:Reyes J.B., Ricardo Abreu Blaya, Vilaire J.M.Fuentes:scopusThe Riemann boundary value problem for β-analytic functions over D-summable closed curves
ArticleAbstract: The aim of this paper is to describe solvability conditions of the β-analytic Riemann boundary valuePalabras claves:Fractal dimensions, Riemann boundary value problem, β-analytic functionsAutores:Reyes J.B., Ricardo Abreu Blaya, Vilaire J.M.Fuentes:scopus