H-空间中的截口定理及其应用

将K y Fan截口定理推广到了H-空间.作为应用,在H-空间上进一步推广了B row der不动点定理,并研究了向量值函数的极大极小值,极大极小不等式以及鞍点问题.最后,研究了一个变分不等式.     

Bernstein多项式的升阶定理

本文给出了Ｂｅｒｎｓｔｅｉｎ多项式升阶定理及其凸性、正性的说明，同时讨论了多项式凸与网凸的关系。     

Q_p空间中的Jackson定理

在Qp空间上建立了Jackson型不等式,即对任意f(z)=Σ∞(j=0)ajzj∈Qp,0≤p<∞,a>1及k-1∈N,有||f(z)-Γk/Γ(k+a)Σ(k-1)(j=0)Γ(k-j+a)/Γ(k-j)ajzj||Qp≤C(a)ω(1/k,f,Qp),其中ω(1/k,f,Qp)为Qp空间中的连续模,C(a)是仅与参数a有关的正常数。     

关于L2空间中的Bernstein-MarkoV不等式

纠正了闵国华（１９９２年）关于Ｌ＾２空间中的Ｂｅｒｎｓｔｅｉｎ－Ｍａｒｋｏｖ不等式的几个错误结果。     

L^2空间中的Bernstein—Markov不等式及其最佳常数

1 引言 设-∞≤a相似文献   

C^n单位球上Q_p空间的点态乘子

该文研究了C^n单位球上Q_p空间的点态乘子空间M(Q_p),分别给出了M(Q_p)与α Bloch 空间及Dirichlet型空间之间严格精确的包含关系.并相应地讨论了单位球上Q_{p,0}空间的点态乘子.     

关于Minkowski空间Rn1中平稳曲面的一个Bernstein型定理

从法向量的角度研究n维Minkowski空间Rn(n≥4)中具有零平均曲率的类空曲面,并且证明了一个Bernstein型的定理.我们推广了Estudillo和Romero的结果,完全解决了Rn中有关浸入平稳曲面的Bernstein型问题.     

高维单形上Bernstein多项式的凸性定理的逆定理

设f是m维单形D上的连续函数,Bⁿ(f;x)是f的n次Bernstein多项式。本文证明:对于D的内点Q,如果恒有Bⁿ(f,Q)≥Bⁿ⁺¹(f,Q),则Q不可能是f的非平凡极大值点。由此推出,若f在D上是逐块线性函数,则Bⁿ(f,x)≥Bⁿ⁺¹(f,x)(对一切正整数n和任一x∈D)蕴含f是D上的凸函数。     

Besov 空间上的算子插值定理

本文研究了算子的插值问题.利用Riesz-Thorin定理的证明方法,并运用Daubechies小波得到了Besov空间上的线性算子的插值定理.     

Mbius不变的Q_p空间:结果、技巧和问题(英文)

本文是关于Mbius不变的Q_p函数空间方面的综述文章,给出了近10年来有关Q_p函数空间的若干结果、技巧和问题.     

Bernstein Inequality and Inverse Approximation Theorem in Modular Function Spaces

A Bernstein inequality and an inverse approximation theorem are proved in some classes of modular function spaces.     

Chebyshev Spaces and Bernstein Bases

We characterize extended Chebyshev spaces by the fact that any Hermite interpolation problem involving at most two different points has a unique solution. This enables us to prove that, in a given space, Bernstein bases exist if and only if the space obtained by differentiation is an extended Chebyshev space.     

Robinson－Ursescu Theorem in p－normed Spaces

For a convex set-valued map between p-normed (0 < p ≤ 1) spaces, we give a criterion for its inverse to be locally Lipschitz of order p. From this we obtain the Robinson-Ursescu Theorem in p-normed spaces and the open mapping and closed graph theorems for closed convex set-valued maps.     

Ivory's Theorem in Hyperbolic Spaces

According to the planar version of Ivory's theorem, the family of confocal conics has the property that in each curvilinear quadrangle formed by two pairs of conics the diagonals are of equal length. It turned out that this theorem is closely related to selfadjoint affine transformations. This point of view opens up a possibility of generalizing the Ivory theorem to the hyperbolic and other spaces.     

A Bernstein Theorem for the Abreu Equation

In this paper we prove a Bernstein type theorem for the Abreu equation on a complete Riemannian manifold (M,G ^*). Using this theorem and affine blow-up analysis we obtain interior estimates for the Abreu equation.     

A Bernstein Type Theorem for Entire Willmore Graphs

We show that every two-dimensional entire graphical solution of the Willmore equation with square integrable second fundamental form is a plane.     

Weierstrass'' Theorem in Weighted Sobolev Spaces

We characterize the set of functions which can be approximated by polynomials with the following norm

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for a big class of weights w₀, w₁, …, w_k