共查询到20条相似文献,搜索用时 15 毫秒
1.
In 1988, H. Groemer gave a stability theorem for the area of convex domains of constant width. In this paper, we obtain a stability theorem for the well-known Minkowski measure of asymmetry for convex domains of constant width. 相似文献
2.
Jenny Harrison 《Journal of Geometric Analysis》1998,8(5):769-795
This paper proves an isomorphism theorem for cochains and differential forms, before passing to cohomology. De Rham’s theorem
is a consequence. This leads to an extension of much of calculus and homology theory to nonsmooth domains, called chainlets,and makes available combinatorial techniques for smooth domains that limit to the classic analytic methods. We find maximal
subspaces of L
1
forms that satisfy Stokes’s theorem for domains of chainlets giving a measurable, as well as optimal, extension of the theory. 相似文献
3.
Vladimir Kozlov 《Journal of Differential Equations》2006,230(2):532-555
We consider the first eigenvalue of the Dirichlet-Laplacian in three cases: C1,1-domains, Lipschitz domains, and bounded domains without any smoothness assumptions. Asymptotic formula for this eigenvalue is derived when domain subject arbitrary perturbations. For Lipschitz and arbitrary nonsmooth domains, the leading term in the asymptotic representation distinguishes from that in the Hardamard formula valid for smooth perturbations of smooth domains. For asymptotic analysis we propose and prove an abstract theorem demonstrating how eigenvalues vary under perturbations of both operator in Hilbert space and Hilbert space itself. This abstract theorem is of independent interest and has substantially broader field of applications. 相似文献
4.
The distortion theorem for biholomorphic convex mappings in bounded symmetric domains are considered. Especially the distortion theorem for biholomorphic convex mappings in classical domain of type IV and two exceptional domains are given. 相似文献
5.
R.A Adams 《Journal of Functional Analysis》1977,24(3):241-257
The Orlicz space analog of the Sobolev imbedding theorem established for bounded domains by Donaldson and Trudinger is here extended to unbounded domains. 相似文献
6.
DISTORTIONTHEOREMFORBIHOLOMORPHICMAPPINGSINTRANSITIVEDOMAINS(IV)¥ZHENGXUEAN;GONGSHENGAbstract:Thedistortiontheoremforbiholomo... 相似文献
7.
The distortion theorem for biholomorphic starlike mappings (with respect to origin )in bounded symmetric domains are given,The distortion theorem for locally biholomorphic convex mappings in bounded symmetric domains are given also. 相似文献
8.
《复变函数与椭圆型方程》2012,57(4):325-332
In the present paper, we answer two questions raised by Jarnicki and Pflug: First, we show by a counterexample that the Hartogs-Bochner theorem is no longer true for non-separated Riemann domains. Secondly, we generalize a structure theorem of Dloussky, which examines the extension of singularity sets contained in analytic hypersurfaces, to non-separated Riemann domains. Moreover, our method yields a new proof of Dloussky's original result. 相似文献
9.
We give a short proof of Wolff–Denjoy theorem for (not necessarily smooth) strictly convex domains. With similar techniques we are also able to prove a Wolff–Denjoy theorem for weakly convex domains, again without any smoothness assumption on the boundary. 相似文献
10.
An embedding theorem for spaces of functions of positive smoothness defined on irregular domains of n-dimensional Euclidean space in Lebesgue spaces is proved. The statement of the theorem depends on the geometric parameters of the domains of the functions. 相似文献
11.
本文首先讨论嵌套论域语义的相应代数语义并由Hughes和Cresswell在[5]中建立的关于具有嵌套论域的正规量词模态系统的关系语义完全性定理推出其相应的代数语义完全性定理:然后对于具有任意可变论域语义的正规系统,我们用Henkin方法给出其关于狭义Kripke语义的关系语义完全性定理,由此通过将关系语义转化为代数语义从而亦推得其代数语义完全性定理。 相似文献
12.
S. Yu. Nemirovskii 《Mathematical Notes》1996,60(3):306-312
In the paper, we consider applications of strictly pseudoconvex domains to the problems of algebraicity and rationality. We
give a new proof of the Kodaira theorem on the algebraicity of a surface and we also prove a multidimensional version of this
theorem. Theorems analogous to the Hodge index theorem and the Lefschetz theorem about (1, 1)-classes are obtained for strictly
pseudoconvex domains. Conjectures on the geometry of strictly pseudoconvex domains on algebraic surfaces are formulated.
Translated fromMatematicheskie Zametki, Vol. 60, No. 3, pp. 414–422, September, 1996.
This research was supported by the Russian Foundation for Basic Research under grant No. 93-01-00225 and by the International
Science Foundation under grant No. 508. 相似文献
13.
Jenny Harrison 《Journal of Geometric Analysis》1998,8(5):797-807
This paper proves an isomorphism theorem for cochains and differential forms, before passing to cohomology. De Rham’s theorem is a consequence. This leads to an extension of much of calculus and homology theory to nonsmooth domains, called chainlets,and makes available combinatorial techniques for smooth domains that limit to the classic analytic methods. We find maximal subspaces of L 1 forms that satisfy Stokes’s theorem for domains of chainlets giving a measurable, as well as optimal, extension of the theory. 相似文献
14.
15.
We consider generalizations of Denjoy-Wolff theorem on strongly pseudo-convex domains. Beardon [3] gave a general Denjoy-Wolff theorem in hyperboli domain in the complex plane. Our main results are generalizations of Beardon's result in a higher dimensional setting. 相似文献
16.
D. Normann 《Archive for Mathematical Logic》1997,36(4-5):269-287
We show that the length of a hierarchy of domains with totality, based on the standard domain for the natural numbers and closed under dependent products of continuously parameterised families of domains will be the first ordinal not recursive
in and any real. As a part of the proof we show that the domains of the hierarchy share important properties with the types
of continuous functionals. The main result can also be viewed as a representation theorem for recursion in .
Received: August 1, 1994 相似文献
17.
Zheng Xuean 《数学年刊B辑(英文版)》1992,13(4):471-484
Based on [1], this paper gives concrete estimates for distortion theorem for biholomorphic convex mappings in classical domains of types Ⅰ, Ⅱ, and Ⅲ including transitive domains which are holomorphically homeomorphic to these domains. 相似文献
18.
利用微分方程给出了反正切相加定理的一种新证法,该方法可直接确定反正切相加定理中函数ε(x,y)的连续域以及函数在域内的取值. 相似文献
19.
A stability theorem is proved for mappings with bounded distortion over John domains in the Heisenberg group furnished with the Carnot–Caratheodory metric. 相似文献