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Compactness of embedding of generalized higher order Lipschitz classes
ArticleAbstract: In this paper sufficient conditions for continuous and compact embeddings of generalized higher ordePalabras claves:compactness, Embedding theorems, higher order Lipschitz classesAutores:Reyes J.B., Ricardo Abreu Blaya, Tamayo-Castro C.D.Fuentes:scopusA Riemann jump problem for biharmonic functions in fractal domains
ArticleAbstract: Biharmonic functions are the solutions of the fourth order partial differential equation Δ Δ ω= 0. TPalabras claves:Biharmonic functions, Fractals, Lipschitz classes, Riemann problemAutores:Ricardo Abreu BlayaFuentes:scopusGeneralizations of harmonic functions in R<sup>m</sup>
ArticleAbstract: In recent works, arbitrary structural sets in the non-commutative Clifford analysis context have beePalabras claves:Clifford analysis, harmonic functions, structural setsAutores:Pérez Y.P., Ricardo Abreu Blaya, Santiesteban D.A.Fuentes:scopusOn Riemann boundary value problems for null solutions of the two dimensional Helmholtz equation
ArticleAbstract: The Riemann boundary value problem (RBVP to shorten notation) in the complex plane, for different clPalabras claves:Boundary value problems, Helmholtz equations, Quaternionic analysisAutores:Kats B.A., Reyes J.B., Ricardo Abreu Blaya, Rodríguez–Dagnino R.M.Fuentes:scopusOn Riemann problems for monogenic functions in lower dimensional non-commutative Clifford algebras
ArticleAbstract: In this paper, we mainly consider the Riemann boundary value problems for lower dimensional non-commPalabras claves:Cauchy–Riemann and Dirac operators, Clifford analysis, Riemann boundary value problemAutores:Reyes J.B., Ricardo Abreu Blaya, Tamayo-Castro C.D.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:scopusSingular integral operators and a ∂¯ -problem for (φ, ψ) -harmonic functions
ArticleAbstract: This paper aims at proving the boundedness property of multidimensional singular integral operatorsPalabras claves:Clifford analysis, higher order Lipschitz classes, Singular integral operator, structural sets, ∂¯ -problemAutores:Reyes J.B., Ricardo Abreu Blaya, Ricardo J.L.S.Fuentes:scopus