单位球上全纯函数空间的系数乘子

本文给出了C^n中超球B上Hardy空间H^p,Bergman空间Lα^p,Bloch空间β，Besov空间Bp及Lipschitz空间Ak^p之间的系数乘子。     

关于Z-空间的对偶空间的讨论

本文以自然的方式定义了从Z-空间X到Z-空间Y的有界线性算子的和以及它们的数乘.从而得到了与赋范空间的对偶空间理论类似的一系列结论.     

Fractional-Linear Transformations of Operator Balls; Applications to Dynamical Systems

The operator sets, which are the subject of this paper, have been studied in many papers where, under different restrictions on the generating operators, convexity, compactness in the weak operator topology, and nonemptiness were proved for sets of different classes under study. Then the results obtained were used in these papers to solve several applied problems. Namely, they played the key role in establishing the dichotomy of nonautonomous dynamical systems, with either continuous or discrete time. In the present paper, we generalize and sharpen the already known criteria and obtain several new criteria for convexity, compactness, and nonemptiness of several special operator sets. Then, using the assertions obtained, we construct examples of sets of the form under study which are nonconvex, noncompact in the weak operator topology, as well as empty, and are generated by ＂smooth＂ operators of a special class. The existence problem for such sets remained open until the authors of this paper announced some of its results.     

关于落球法测粘滞系数的公式和使用范围

用落球法测粘滞系数的二级近似公式,有些教材是以过时的戈尔茨坦(Goldstein)公式为依据得出来的,而雷诺(Reynolds)数R~2项的系数却与原公式不一致。本文提出一些商榷意见,并讨论一下落球法的使用范围。一、正确的二级近似公式直径为d的小球,在粘滞系数为η、     

胶球研究现状

本文介绍了有关胶球研究的现状,重点介绍确认胶球的一些定性的判据以及实验上已发现的一些可能的胶球候选者.     

GF(2)上本原多项式的三项倍式的次数研究

研究了二元域上本原多项式的三项倍式的计数问题,通过对三项倍式进行分类,导出了本原多项式三项倍式最低次数的一个上界.利用这一结果,使构造本原多项式的次数最低的三项倍式的计算复杂性降到原来的九分之一.     

完全连接依赖及其有效公理系统的研究与应用

关系数据库理论中给出的完全连接依赖的有效公理系统并不能完全适应应用的需要，本文在对有效公理系统的研究基础上对其作出扩充，使其应用范围更为广泛，并能直接用于找出蕴含的所有连接依赖及判断连接 依赖是否存在推导有向无回路图DAG。     

Operator Matrix Forms of Positive Operators

If a 3-tuple (A:H1→H1,B:H2→H1,C:H2→H2）of operators on Hibert spaces is given,we proved that the operator ～↑A:=(↑A ↓B^*↑B ↓C) on H=H1 H2 is ≥0 is and only if A≥0,R(B)∪→R（A^1/2) and C≥B^* A^ b,where A^ is the generalized inverse of A.In general,A^ is a closed operator,but since R(B)∪→R(A^1/2,B^* A^ B is bounded yet.     

有序分组资料的线性趋势检验的确切概率计算

有序分组资料的线性趋势检验主要用于检验几个二项总体反应率的线性趋势；在医学与生物学中最典型的用途是研究剂量和反应的关系． 如果用Ｚ检验来代替通常在本检验中所用的卡方检验，就可容易地导出本检验的确切概率计算方法，和其他２×Ｃ有序列联表有着相同的形式．本文给出了该检验的确切概率计算方法．