关于Sobolev插值不等式

给出了Sobolev插值不等式的一种简便推导公式．     

Bloch型空间上的Volterra算子

讨论了单位圆上从对数Bloch空间B_L到Bloch空间的Voleterra算子的有界性和紧性,得到了刻画其有界性和紧性的充分必要条件.     

Social learning spaces and student engagement

Notable gains have been made in understanding the factors that influence the student experience in higher education, particularly in the area of student engagement. While tremendous effort has been focused on identifying educationally beneficial activities for students, we must also consider where these activities are occurring. In recent years there have been technological advances that have paved the way for blended learning environments, however, physical learning environments continue to dominate the functionality of many universities. The development of purpose‐built informal social learning spaces as a strategy to enhance the student experience is becoming more prevalent, although empirical research in this area is lacking. This study explores the role of social learning spaces on the student experience using the student engagement framework within a qualitative research design. Informal interviews with 103 students were conducted within a social learning space. Findings reveal that social learning spaces can contribute to enhanced student engagement by fostering active learning, social interaction and belonging amongst tertiary students. The study also suggests that design is a contributing factor to students' perceptions of social learning spaces.     

相似线性变换及其性质

采用类比的方法,研究了线性变换的相似关系,给出了相似线性变换的基本性质以及特征定理。     

基于拟赋范空间的vx,y映射

通过对含有几何常数C的拟赋范线性空间中的映射vx,y（t）=（‖x＋ty‖-‖x‖）/t的研究,得到了vx,y映射在拟赋范线性空间中所满足的不等式,并且在进一步论证过程中得到了关于拟赋范线性空间三角不等式‖x＋y‖≤C‖x‖＋C‖y‖的推广。     

带粗糙核的Marcinkiewicz积分交换子在加权Morrey-Herz空间上的有界性

引进了一类Morrey-Herz函数空间,利用带粗糙核的Marcinkiewicz积分算子与BMO（Rn）函数生成的交换子μΩ,b（f）（x）在加权Lp空间上有界性,证明了它在更广泛的一类空间即加权Morrey-Herz空间MKp,α,qλ（Rn）上的有界性.     

单锥上第一类Siegel域的扩充空间

本文给出一类齐性复解析流形及某些子流形,并应用它实现陆启铿、钟家庆在［１］中给出的单锥上的第一类Ｓｉｅｇｅｌ 域的扩充空间。从扩充空间上的运动群在超圆上的限制得到单锥上第一类Ｓｉｅｇｅｌ 域的仿射自同胚群     

概率赋范空间的局部有界与可赋范化

讨论了概率赋范空间的局部有界性,阐明了局部有界的概率赋范空间与赋范空间的关系,给出了概率赋范空间可赋范化的充要条件,提出了广义概率赋范空间和最佳广义弱ｔ－模的概念,在这些新概率之下讨论了一些相应的问题。     

严格凸Banach空间中最佳逼近元的存在与唯一性

在严格凸Ｂａｎａｃｈ空间中,引入保持严格凸性的范数,得到了严格凸Ｂａｎａｃｈ空间积空间的严格凸性,证明了单空间和积空间中关于无穷维紧凸子集最佳逼近元的存在与唯一性定理,改进和推广了某些已有结果。     

Higher stakes – the hidden risks of school security fences for children’s learning environments

In a move away from the open or low-fenced grounds that have traditionally been a feature of Australian school design, the last decade has seen a growth in the installation of high-security fences around schools. These structures, far from being passive and neutral, act to redefine the possibilities for movement and connectivity in the local landscape. This paper looks beyond the impact of fences on safety and security to explore the wider implications of these structures. By bringing together perspectives on children’s experience of independent mobility, belonging and attachment to place, the paper opens up new avenues for thinking about how children’s learning is shaped by the relationship between school, community and the boundaries between them. It provides a starting point for understanding how high-security boundaries can impact on children’s learning and why at times these structures may pose more risks than those they aim to address.