Revistas académicas de la Universidad Católica del Norte
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An improvement of j. Rivera-letelier result on weak hyperbolicity on periodic orbits for polynomials
No full textWe prove that for f : a rational mapping of the Riemann sphere of degree at least 2 and Ω a simply connected immediate basin of attraction to an attracting fixed point, if |(f n)'(p)| ≥ Cn3+ξ for constants ξ > 0,C > 0 all positive integers n and all repelling periodic points p of period n in Julia set for f, then a Riemann mapping R : extends continuously to and FrΩ is locally connected. This improves a result proved by J. Rivera-Letelier for Ω the basin of infinity for polynomials, and 5 + ξ rather than 3 + ξ
A radon nikodym theorem in the non-archimedean setting
No full textIn this paper we define the absolutely continuous relation between nonarchimedean scalar measures and then we give and prove a version of the Radon-Nykodym Theorem in this setting.We also define the nonarchimedean vector measure and prove some results in order to prepare a version of this Theorem in a vector case
On the retrosection theorem
No full textWe survey some old and new results related to the retrosection theorem and some of its extensions to compact Klein surfaces, stable Riemann surfaces and stable Klein surfaces
On some functions concerning fuzzy PG-closed sets
No full textIn this paper we consider new weak and strong forms of fuzzy preirresoluteness and fuzzy pre-closureness via the concept of fuzzy pg-closed sets which we call ap-Fp-irresolute functions, ap-Fp-closed functions and contra fuzzy pre-irresolute functions and we use it to obtain a characterization of fuzzy pre-T_1=2 spaces
Strong topologies for multiplier convergent series
No full textP. Dierolf has shown that there is a strongest locally convex polar topology which has the same subseries (bounded multiplier) convergent series as the weak topology, and I. Tweddle has shown that there is a strongest locally convex topology which has the same subseries convergent series as the weak topology. We establish the analogues of these results for multiplier convergent series if the sequence space of multipliers has the signed weak gliding hump property. We compare our main result with other known Orlicz-Pettis Theorems for multiplier convergent series
Abelian automorphisms groups of Schottky type
No full textWe study the problem of lifting an Abelian group H of automorphisms of a closed Riemann surface S (containing anticonformals ones) to a suitable Schottky uniformization of S (that is, when H is of Schottky type). If H+ is the index two subgroup of orientation preserving automorphisms of H and R = S/H+, then H induces an anticonformal automorphism ? : R ? R. If ? has fixed points, then we observe that H is of Schottky type. If ? has no fixed points, then we provide a sufficient condition for H to be of Schottky type. We also give partial answers for the excluded cases
Parallel syncrhronous algorithm for nonlinear fixed point problems
No full textWe give in this paper a convergence result concerning parallel synchronous algorithm for nonlinear fixed point problems with respect to the euclidean norm in R?. We then apply this result to some problems related to convex analysis like minimization of functionals, calculus of saddle point, convex programming
Uniqueness of determination of the unknown source term in some multidimensional parabolic equations
No full textThe purpose of this paper is to identify the unknown source term in a multidimensional parabolic equation by means of a one-point interior measurement of the solution at x? ? ?, i.e. u(x?, .) on [0, T ]; or a one-point boundary measurement, i.e. u(x??, .) on [0, T ] with x?? ? ??
A simple proof of a theorem on (2n)-weak amenability
No full textA simple proof of (2n)-weak amenability of the triangular Banachalgebra is given where A is a unital C?-algebra
Periodic strong solutions of the magnetohydrodynamic type equations
No full textWe obtain, using the spectral Galerkin method together with compactness arguments, existence and uniqueness of periodic strong solutions for the magnetohydrodynamic type equations