关于Orlicz空间中范数的一点注记

证明了在Orlicz空间中的3个条件等价：①inf{｜｜x｜｜^0：｜｜x｜｜=1}〉1；②sup{｜｜x｜｜：｜｜x｜｜^0=1}〈1；③M∈△2△↓2．     

射影空间的一个数量刻画

设X是n维射影代数簇,取定X中一点x,设Ct(X,X(1))表示X中的过x点的t次有理曲线的集合,pt(X)=d imCt(X,X(1)).本文证明了对于任一正整数t,有pt(Pn)=t(n 1)-2.     

B值随机元阵列的弱大数定律

在“Cesàro一致可积”系列条件下研究了 B值随机元阵列的弱大数定律 ,并刻划了Banach空间的几何特征     

A note on the Marcinkiewicz integral operators on Fp^a,q

In this paper, we shall prove that the Marcinkiewicz integral operator #n, when its kernel Ω satisfies the L^1-Dini condition, is bounded on the Triehel-Lizorkin spaces. It is well known that the Triehel-Lizorkin spaces are generalizations of many familiar spaces such as the Lehesgue spaces and the Soholev spaces. Therefore, our result extends many known theorems on the Marcinkiewicz integral operator. Our method is to regard the Marcinkiewicz integral operator as a vector valued singular integral. We also use another characterization of the Triehel-Lizorkin space which makes our approach more clear.     

关于旗流形的一个注记

从几类与群锥有紧密关联的群矩阵入手,构造了几类齐性复能析流形．这些流形包含了旗流形．     

完全正规空间

给出了一类特殊的正规空间－－完全正规空间，并讨论了它的性质。     

Boundary Crossing and the Professional Learning of Teacher Educators in New International Contexts

In this collaborative self-study, two teacher educators examine their experiences of working in new international contexts and the impact of those experiences on their professional learning and identities. Mandi moved from a major research university in one country to another, while Judy co-led a group of pre-service teachers on an international practicum for three weeks each year for three years. Using the concept of boundary crossing as a theoretical and analytical framework, each teacher educator identified a boundary-related critical incident or experience that occurred during her work in new international contexts. Through individual and collaborative analysis of their critical incidents, they found that working as a teacher educator in new international contexts involves the crossing and re-crossing of multiple personal, professional, linguistic and cultural boundaries. Working in these boundary spaces involved learning how to negotiate new kinds of relationships with colleagues and students, manage changed roles and responsibilities and, ultimately, a search for a renewed sense of self, as each sought to understand herself differently within a new professional context.     

福柯“异质空间”概念对当代电影批评的意义

福柯提出的“异质空间”概念当代电影批评具有独特的理论价值。本文内容分为三个部分：第一是文化研究者对异质空间的不同阐述和理解，第二是异质空间概念对艺术批评的意义，第三是异质空间概念对当代电影批评的意义。     

Banach空间中强可测函数的选择定理

讨论了Banach空间上强可测函数的选择定理,由此定理得到一个Banach空间自反的充要条件及其它一些有趣的结果,这些结果可用于Banach空间上最优控制问题的研究     

《广义度量空间与映射》的正则性

正则性是拓扑学中熟知的分离公理． 分析了著作《广义度量空间与映射》中的正则性条件, 获得了若干Ｔ２ 空间中的广义度量定理, 构造了几个反例说明某些众所周知的结论中正则性是必不可少的, 提出了一些尚未解决的问题供探讨．