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Hölder norm estimate for the fractal Hilbert transform in Douglis analysis
ArticleAbstract: The main goal of this paper is to estimate the Hölder norm of a fractal version of the Hilbert transPalabras claves:Fractal dimensions, h-summables curves, Hilbert Transform, Hölder functions, hyperanalytic functions, Whitney decompositionAutores:Árciga Alejandre M.P., Pérez Y.P., Reyes J.B., Ricardo Abreu BlayaFuentes:scopusOn (ϕ, ψ) -Inframonogenic Functions in Clifford Analysis
ArticleAbstract: Solutions of the sandwich equation ϕ∂̲[f]ψ∂̲=0, where ϕ∂̲ stands for the Dirac operator with respectPalabras claves:Clifford analysis, inframonogenic functions, structural sets, Π -OperatorAutores:Árciga Alejandre M.P., Ricardo Abreu Blaya, Santiesteban D.A.Fuentes:scopusOn the Plane Lamé–Navier System in Fractal Domains
ArticleAbstract: This paper is devoted to study a fundamental system of equations in plane Linear Elasticity Theory,Palabras claves:Cauchy integral, Fractals, Linear elasticityAutores:Árciga Alejandre M.P., García A.M., Ricardo Abreu Blaya, Valencia D.E.G.Fuentes:scopusOn the Riemann problem in fractal elastic media
ArticleAbstract: In this paper we study a kind of Riemann problem for the Lamé–Navier system in the plane on a smoothPalabras claves:Kolosov–Muskhelishvili formula, Linear elasticity, Riemann problemAutores:Árciga Alejandre M.P., Pérez Y.P., Ricardo Abreu Blaya, Valencia D.E.G.Fuentes:scopusRiemann and Dirichlet Type Problems for Hyperanalytic Functions in Fractal Domains
ArticleAbstract: In this paper we are interested in finding solvability conditions for Riemann and Dirichlet type bouPalabras claves:Fractal dimensions, h-summables curves, Hölder functions, hyperanalytic functions, Whitney decompositionAutores:Árciga Alejandre M.P., Pérez Y.P., Reyes J.B., Ricardo Abreu BlayaFuentes:scopus