共查询到20条相似文献,搜索用时 15 毫秒
1.
GINDIKIN Simon 《中国科学A辑(英文版)》2006,49(11):1655-1661
We discuss some problems on rigidity of canonical realizations of complex homogeneous domains at ℂn
Dedicated to Professor Sheng GONG on the occasion of his 75th birthday 相似文献
2.
XU Yichao CHEN Minru & MA Songya Academy of Mathematics Systems Science Chinese Academy of Sciences Beijing China College of Mathematics Information Sciences Henan University Kaifeng China 《中国科学A辑(英文版)》2006,49(10):1392-1404
We known that the maximal connected holomorphic automorphism group Aut (D)(0) is a semi-direct product of the triangle group T(D) and the maximal connected isotropic subgroup Iso(D)(0) of a fixed point in the complex homogeneous bounded domain D and any complex homogeneous bounded domain is holomorphic isomorphic to a normal Siegel domain D(VN,F). In this paper, we give the explicit formula of any holomorphic automorphism in T(D(VN, F)) and Iso(D(VN,F))(0), where G(0) is the unit connected component of the Lie group G. 相似文献
3.
通过把二重积分转化成曲线积分,得到二元分式线性齐次复合函数积分的两个定理及其若干推论,并构造一些比较典型的用一般方法难以计算的例子说明结论的应用. 相似文献
4.
Robert F. Allen 《分析论及其应用》2014,(2):236-248
We study the bounded and the compact weighted composition operators from the Bloch space into the weighted Banach spaces of holomorphic functions on bounded homogeneous domains, with particular attention to the unit polydisk. For bounded homogeneous domains, we characterize the bounded weighted composition operators and determine the operator norm. In addition, we provide sufficient conditions for compactness. For the unit polydisk, we completely characterize the compact weighted composition operators, as well as provide "computable" estimates on the operator norm. 相似文献
5.
6.
Barbara Opozda 《Annals of Global Analysis and Geometry》1997,15(2):187-199
A theorem of Singer says that an infinitesimaly homogeneous Riemannian manifold is locally homogeneous. We propose two result on affine connections similar to the theorem of Singer. As an application we prove a theorem giving a sufficient condition for local homogeneity in case of affine connections on 2-dimensional manifolds. 相似文献
7.
丰德军等人在他们的相关的论文中介绍了齐次均匀康托集和偏齐次均匀康托集,在本文中我们构造介于两者之间的一类齐次Moran集,给出其豪斯多夫维数的精确计算公式,并讨论维数关于参数的不连续性. 相似文献
8.
9.
两个非紧致齐性复解析流形 总被引:3,自引:0,他引:3
本文给出两个非紧致的齐性复解析流形.用它的齐性子流形构造出两个例外对称典型域的扩充空间,并由复流形上的运动群在超圆上的限制得到了两个例外对称典型域的仿射自同胚群,它们是闭的辛子群. 相似文献
10.
In this paper, we study necessary and sufficient conditions for functions to be approximated uniformly on plane compact sets by polynomial solutions to second-order homogeneous elliptic equations with constant coefficients. Sufficient conditions for approximability are of reductive character, i.e., the possibility of approximating on some (simpler) parts of the compact set implies approximability on the entire compact set. 相似文献
11.
12.
13.
Zhirayr Avetisyan Alexey Karapetyants 《Mathematical Methods in the Applied Sciences》2023,46(1):811-829
We introduce and study in a general setting the concept of homogeneity of an operator and, in particular, the notion of homogeneity of an integral operator. In the latter case, homogeneous kernels of such operators are also studied. The concept of homogeneity is associated with transformations of a measure—measure dilations, which are most natural in the context of our general research scheme. For the study of integral operators, the notions of weak and strong homogeneity of the kernel are introduced. The weak case is proved to generate a homogeneous operator in the sense of our definition, while the stronger condition corresponds to the most relevant specific examples—classes of homogeneous integral operators on various metric spaces—and allows us to obtain an explicit general form for the kernels of such operators. The examples given in the article—various specific cases—illustrate general statements and results given in the paper and at the same time are of interest in their own way. 相似文献
14.
YAU Stephen S T 《中国科学A辑(英文版)》2006,(11)
Let V be a hypersurface with an isolated singularity at the origin in Cn 1. It is a natural question to ask when V is defined by weighted homogeneous polynomial or homogeneous polynomial up to biholomorphic change of coordinates. In 1971, a beautiful theorem of Saito gives a necessary and sufficient condition for V to be defined by a weighted homogeneous polynomial. For a two-dimensional isolated hypersurface singularity V, Xu and Yau found a coordinate free characterization for V to be defined by a homogeneous polynomial. Recently Lin and Yau gave necessary and sufficient conditions for a 3-dimensional isolated hypersurface singularity with geometric genus bigger than zero to be defined by a homogeneous polynomial. The purpose of this paper is to prove that Lin-Yau's theorem remains true for singularities with geometric genus equal to zero. 相似文献
15.
After the second author and J. Szenthe [10] proved that every homogeneous Riemannian manifold admits a homogeneous geodesic, several authors studied the set of all homogeneous geodesics in various homogeneous spaces. In this paper, we consider special examples of homogeneous spaces of solvable type of arbitrary odd dimension given in [1] and [7] and we show that their sets of homogeneous geodesics have an interesting structure, closely connected to the notion of Hadamard matrices. 相似文献
16.
Gladis Pradolini Oscar Salinas 《Proceedings of the American Mathematical Society》2004,132(2):435-441
We avoid the assumption given in the work of C. Pérez and R. Wheeden (2001) to prove boundedness properties of certain maximal functions in a general setting of the spaces of homogeneous type with infinite measure. In addition, an example shows that the result can be false if the space has finite measure.
17.
We show that a 2-homogeneous polynomial on the complex Banach space c
0
l
2
i
) is norm attaining if and only if it is finite (i.e, depends only on finite coordinates). As the consequence, we show that
there exists a unique norm-preserving extension for norm-attaining 2-homogeneous polynomials on c
0(l
2
i
).
The second author was supported by FAPESP, Brazil, Research Grant 01/04220-8. 相似文献
18.
19.
Pei-Kee Lin 《数学学报(英文版)》2008,24(5):877-880
We prove that every 2-homogeneous polynomial on the complex co has a unique normpreserving extension to its bidual l∞. 相似文献
20.
Let M = G/K be a homogeneous differentiable manifold. We consider the homogeneous bundle = (G, π, G/K, K) and the tangent bundle τ
G/K of M = G/K, and give some results about the existence of homogeneous vectors on the fiber space of τ
G/K, for both cases of G semisimple and weakly semisimple.
相似文献