Revista Matemática Complutense

Revista Matemática Complutense https://revistas.ucm.es/index.php/REMA Revista Matemática Complutense (ISSN 1139-1138, ISSN-e 1988-2807), que edita en la actualidad tres fascículos al año, publica trabajos originales o recapitulativos cuidadosamente seleccionados de todas las áreas de la Matemática, entre ellos el artículo del “Conferenciante Santaló” que cada año recae en un matemático de gran prestigio. Desde enero de 2010, Springer se encarga de su publicación. es-ES LICENCIA DE USO: Los artículos a texto completo incluidos en el Portal de Revistas Científicas Complutenses son de acceso libre y propiedad de sus autores y/o editores. Por tanto, cualquier acto de reproducción, distribución, comunicación pública y/o transformación total o parcial requiere el consentimiento expreso y escrito de aquéllos. Cualquier enlace al texto completo de los artículos del Portal de Revistas Científicas Complutenses debe efectuarse a la URL oficial de la Universidad Complutense de Madrid revista_matematica@mat.ucm.es (José María Arrieta Algarra) prod.ediciones@ucm.es (Ediciones Complutense) Mon, 27 Jul 2009 00:00:00 +0000 OJS 3.3.0.8 http://blogs.law.harvard.edu/tech/rss 60 Navier-Stokes/darcy coupling: modeling, analysis, and numerical approximation https://revistas.ucm.es/index.php/REMA/article/view/REMA0909220315A This pap er is an overview of known and new results ab out the coupling of Navier-Stokes and Darcy equations to model the filtration of incompressible fluids through p orous media. We discuss coupling conditions and we analyze the global coupled model in order to prove its well-p osedness and to characterize effective algorithms to compute the solution of its numerical approximation. Marco Discacciati, Alfio Quarteroni Derechos de autor https://revistas.ucm.es/index.php/REMA/article/view/REMA0909220315A Mon, 27 Jul 2009 00:00:00 +0000 Coincidence of some classes of universal functions https://revistas.ucm.es/index.php/REMA/article/view/REMA0909220427A Let Ω a domain in the complex plane such that Ω satisfies appropriate geometrical and topological properties. We prove that if f is a holomorphic function in Ω, then its Taylor series, with center at any ξ Є Ω , is universal with respect to overconvergence if and only if its Cesáro (C, k)-means are universal for any real k > −1. This is an extension of the same result, proved recently by F. Bayart, for any integer k ≥ 0. As a consequence, several classes of universal functions introduced in the related literature are shown to coincide. Emmanuel S. Katsoprinakis Derechos de autor https://revistas.ucm.es/index.php/REMA/article/view/REMA0909220427A Mon, 27 Jul 2009 00:00:00 +0000 Monodromy zeta-functions of deformations and Newton diagrams https://revistas.ucm.es/index.php/REMA/article/view/REMA0909220447A For a one-parameter deformation of an analytic complex function germ of several variables, there is defined its monodromy zeta-function. We give a Varchenko type formula for this zeta-function if the deformation is non-degenerate with respect to its Newton diagram. Gleb Gusev Derechos de autor https://revistas.ucm.es/index.php/REMA/article/view/REMA0909220447A Mon, 27 Jul 2009 00:00:00 +0000 Asymptotic uniform moduli and Kottman constant of Orlicz sequence spaces https://revistas.ucm.es/index.php/REMA/article/view/REMA0909220455A We give lower and upp er b ounds, involving moduli of asymptotic uniform con vexity and smoothness, for the Kottman separation constant of Orlicz sequence spaces equipp ed with the Luxemburg norm. Sylvain Delpech Derechos de autor https://revistas.ucm.es/index.php/REMA/article/view/REMA0909220455A Mon, 27 Jul 2009 00:00:00 +0000 Weighted composition operators between spaces of Dirichlet type https://revistas.ucm.es/index.php/REMA/article/view/REMA0909220469A In this work we characterize b oundedness and compactness of weighted comp osi tion op erators acting b etween Dirichlet typ e spaces by using Carleson measures. We also find essential norm estimates for these op erators. Sanjay Kumar Derechos de autor https://revistas.ucm.es/index.php/REMA/article/view/REMA0909220469A Mon, 27 Jul 2009 00:00:00 +0000 The SL(2,C)-character varieties of torus knots https://revistas.ucm.es/index.php/REMA/article/view/REMA0909220489A Let G b e the fundamental group of the complement of the torus knot of typ e (m, n). This has a presentation G = x, y | xm = y n . We find the geometric description of the character variety X (G) of characters of representations of G into SL(2, C). Vicente Muñoz Derechos de autor https://revistas.ucm.es/index.php/REMA/article/view/REMA0909220489A Mon, 27 Jul 2009 00:00:00 +0000 Symmetrization and sharp Sobolev inequalities in metric spaces https://revistas.ucm.es/index.php/REMA/article/view/REMA0909220499A We derive sharp Sob olev inequalities for Sob olev spaces on metric spaces. In particular, we obtain new sharp Sob olev emb eddings and Fab er-Krahn estimates for H¨rmander vector fields. o Mario Milman, Jan Kališ Derechos de autor https://revistas.ucm.es/index.php/REMA/article/view/REMA0909220499A Mon, 27 Jul 2009 00:00:00 +0000 Erratum to “Fundamental groups of some special quadric arrangements” https://revistas.ucm.es/index.php/REMA/article/view/REMA0909220517A This erratum relates to our work “Fundamental groups of some special quadric arrangements”. The original Theorems 2.2, 2.5, 2.8 and Propositions 2.3(ii)(iii), 2.6(ii)(iii), 2.9(ii)(iii) have wrong results. They need to be rephrased. Corollaries 2.4 and 2.7 are incomplete, and they are extended. We add a new Corollary 2.10, which does not appear in the original paper. Proposition 3.1 has a wrong result and it is rephrased and reproved. In Proposition 4.1 and its Corollary 4.2 a slight error has occurred: as the correct proofs in the paper show, the monodromy is a quadruple fulltwist. Meirav Amram, Mina Teicher Derechos de autor https://revistas.ucm.es/index.php/REMA/article/view/REMA0909220517A Mon, 27 Jul 2009 00:00:00 +0000