منابع مشابه
On Approximation in the Bers Spaces
Let D be a Jordan domain in the complex plane with rectifiable boundary C. Let Aq(D) denote the Bers space with norm || ||,. We prove that if/6 A„(D), 2<q<cc, then there exist functions ■s„W = 2£=i l/(z — zn!c), znltEC for k = \,■ ■ ,n, such that \Un— f\\«—"-0This result does not hold for 1 <q^2 even when D is a disc.
متن کاملOn the Bers Fiber Spaces
It is well known that a Bers fiber space F (Γ) for a torsion free finitely generated Fuchsian group Γ of the first kind can be identified with a Teichmüller space. If Γ has torsion, a theorem of Earle–Kra [9] asserts that in almost all cases, F (Γ) is not isomorphic to any Teichmüller space. However, there are 39 cases which remain unsettled. Our results remove 27 from the 39 previously unknown...
متن کاملSpaces of Riemann Surfaces as Bounded Domains by Lipman Bers
1. A surface of type (g, n) is a surface 5 obtained by removing n*zO distinct points from a closed Riemann surface of genus g\ we assume always that 3g — 3+n>0. Such a surface 5 is marked by choosing a homotopy class [ƒ] of orientation preserving homeomorphisms ƒ of 5 onto a fixed reference surface So. Two marked surfaces (Si, [ft]) a n d (S2, [ƒ2]) are equivalent if there is a conformai mappin...
متن کاملProjective structures with degenerate holonomy and the Bers density conjecture
We prove the Bers density conjecture for singly degenerate Kleinian surface groups without parabolics.
متن کاملNew Bases for Polynomial-Based Spaces
Since it is well-known that the Vandermonde matrix is ill-conditioned, while the interpolation itself is not unstable in function space, this paper surveys the choices of other new bases. These bases are data-dependent and are categorized into discretely l2-orthonormal and continuously L2-orthonormal bases. The first one construct a unitary Gramian matrix in the space l2(X) while the late...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1977
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1977-0425139-3