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排序方式: 共有113条查询结果,搜索用时 15 毫秒
1.
聂昌雄 《数学年刊A辑(中文版)》2015,36(1):31-36
通过对第二共形基本形式的模长平方作拼挤,给出Clifford超柱面的一个共形特征. 相似文献
2.
Akhil Ranjan 《Proceedings Mathematical Sciences》2000,110(1):27-34
In this paper we give a proof of Lichnerowicz conjecture for compact simply connected manifolds which is intrinsic in the
sense that it avoids thenice embeddings into eigenspaces of the Laplacian. Even if one wants to use these embeddings, this paper gives a more streamlined proof.
As a byproduct, we get a simple criterion for a polynomial to be a Jacobi polynomial. 相似文献
3.
《复变函数与椭圆型方程》2012,57(4):285-301
Let U be the open unit disc of the complex plane. We explicitly construct the best pointwise approximation for determining a function in the Hardy space H p (U) from measured data at a countable set of points in U whenever the data is exact. A regularization scheme is given to deal with the case of nonexact data. Moreover, optimal error estimates are also studied. 相似文献
4.
Tao Qian 《Mathematical Methods in the Applied Sciences》2009,32(3):253-263
We prove that boundary derivatives of the phases of inner functions exist and are positive almost everywhere, but those of outer functions, on the other hand, have zero mean on the boundary. The concepts and results have definitive applications to the definitions of instantaneous frequency and mono‐components complying with requirements in physics and contemporary study of analytic signals. Copyright © 2008 John Wiley & Sons, Ltd. 相似文献
5.
与经典有限阶整函数的Hadamard因子分解定理和半平面中属于Hardy空间的解析函数的内外函数的因子分解类似,对右半平面中有限阶ρ解析函数f,可以分解为三个解析函数G,eQ和eg的乘积GeQeg,其中G是一个加权Blaschke乘积,Q是一个次数不超过ρ的多项式以及eg是一个加权外函数,log|G|,ReQ和Reg-log|f|在右半平面的边界恒为零. 相似文献
6.
该文指出了凸几何分析中几个具有较高应用价值的经典不等式之间的蕴涵关系. 相似文献
7.
Brian P. Kelly 《Journal of Mathematical Analysis and Applications》2007,327(2):959-969
In this paper we establish the fundamental properties of concentration at a radius for functions in the classical Hardy space on the unit disk. For f(z) which is not identically zero and given r, 0<r<1, the concentration is defined via the ratio of the norm of f(rz) to the norm of f(z). Using the Mahler measure of f(z), we obtain information on the distribution of the zeros of f(z) in terms of the concentration ratio. In the last section of the paper, we examine the sharpness of concentration estimates for the Blaschke factor. 相似文献
8.
Ying Lu 《数学学报(英文版)》2011,27(8):1655-1662
A Blaschke hypersurface admits \(\hat \nabla S\) symmetry if and only if \(\hat \nabla S(X,Y) = \hat \nabla S(Y,X)\). We prove that the shape operator has only one eigenvalue. And such Blaschke surfaces are classified as affine spheres or ruled surfaces. 相似文献
9.
Daniel Girela M. Auxiliadora Márquez 《Journal of Mathematical Analysis and Applications》2005,309(2):534-543
A well-known theorem of H.S. Shapiro and A.L. Shields implies that if f?0 is a function which belongs to the Bergman space Ap (0<p<∞) and {zk} is a sequence of zeros of f which is contained in a Stolz angle, then {zk} satisfies the Blaschke condition. In this paper we improve this result. We consider a large class of regions contained in the unit disc D which touch ∂D at a point ξ tangentially and we prove that the mentioned result remains true if we substitute a Stolz angle by any of these regions of tangential approach. 相似文献
10.