球面上具有四个不同主曲率的Moebius等参超曲面

设x:M→S~(n+1)(n≥5)是(n+1)-维单位球面上不含脐点的超曲面,在S~(n+1)的Moebius变换群下浸入x的四个基本不变量是:Moebius度量g;Moebius第二基本形式B;Moebius形式Φ和Blaschke张量A.本文给出S~(n+1)上具有重数1,1,1,m(m≥2)的四个不同Moebius主曲率的Moebius等参超曲面的分类.     

On a class of closed prime ideals in H ∞

Gorkin and Mortini introduced the concept of k-hulls, k(x), of points x in M(H ^∞)????D, and studied the ideal structures of H ^∞ and H ^∞ +C. They posed a problem for which x∈ M(H ^∞)????D the set I(k(x)) is a closed prime ideal. In this article, we give a partial answer for sparse points x.     

Inner functions in weak Besov spaces

It is shown that inner functions in weak Besov spaces are precisely the exponential Blaschke products.     

Affine isoperimetric inequalities in the functional Orlicz–Brunn–Minkowski theory

In this paper, we develop a basic theory of Orlicz affine and geominimal surface areas for convex and s-concave functions. We prove some basic properties for these newly introduced functional affine invariants and establish related functional affine isoperimetric inequalities as well as functional Santaló type inequalities.     

Moebius形式平行的超曲面

给出并证明了单位球面上Moebius形式平行的满足条件A＋λg＋μ（B，ξ）=0的无脐点超曲面一定是Moebius形式消失的．     

半平面中解析函数的积分表示及在逼近中的应用

在该文中, 作者证明了满足一定增长性条件的右半平面上的解析函数可以由它在边界上的积分和其加权Blaschke乘积的和表示, 作为应用, 作者还考虑了指数多项式在实数轴上加权 Banach 空间C_α 中的完备性.     

Blaschke structure for a special affine immersion

In this paper we determine a Blaschke structure for affine immersion of Euclidian and Hyperbolic type for plane equi-affine curve. In particular, we consider this structure in the case where the Ricci tensor of affine immersion is constant and give a necessary and sufficient condition for Ricci tensor to be constant.     

Conditional expectation and the Bergman projection

For any σ-algebra of measurable subsets of the unit disk generated by a finite Blaschke product, we prove that the associated conditional expectation operator commutes with the Bergman projection operator if and only if the σ-algebra is generated by a monomial. In the process, a formula for the conditional expectation operator (under certain assumptions) is obtained. When compared with earlier results of A.B. Aleksandrov concerning conditional expectation associated with σ-algebras of measurable subsets of the circle, our results exhibit a stark contrast between the way conditional expectation operators act in the Bergman and Hardy space settings.     

Reducing Subspaces of Toeplitz Operators on Nψ-type Quotient Modules on the Torus

In this paper, we prove that the Toeplitz operator with finite Blaschke product symbol Sψ(z) on Nψhas at least m non-trivial minimal reducing subspaces, of Sψ(z) on any of these minimal reducing subspaces is unitary equivalent to the Bergman shift Mz.