THE MINIMAL OPERATOR AND WEIGHTED INEQUALITIES FOR MARTINGALES

In this article the authors introduce the minimal operator on martingale spaces, discuss some one-weight and two-weight inequalities for the minimal operator and characterize the conditions which make the inequalities hold.     

鞅极大算子的加权弱型不等式

本文研究了极大算子M满足一类弱型不等式时权函数应具备的条件.利用极大算子的弱(1,1)不等式和Young不等式,证明了权函数对(u,v)此时为AΦ,Ψ权,推广了Ap,p权的理论.     

ATOMIC DECOMPOSITION FOR B-VALUED R.V. SEQUENCE SPACES

In this article,atomic decompositions and the duals of some B-valued r.v.se- quence spaces are investigated.The results show that it closely depends on the geometrical properties of the sequence that take values in.     

Bergman空间上的复合算子的范数

本文研究了Bergman空间上的复合算子的范数与再生核的关系,证明了紧复合算子C的范数‖C‖=sup{‖C*kw‖:w∈D}的充要条件是(0)=0或是仿射映射,即(z)=sz+t,s,t是满足|s|+|t|<1的常数,其中kw为Bergman空间的规范再生核, C*是C的共轭算子.     

B值鞅遍历定理与极大不等式

研究一类具有较强物理背景的B值鞅遍历过程.利用DooB上穿不等式,证明了其取值的Banach空间具有RN（Radon-Nikodym）性质时这类随机过程的收敛性.对于像空间为p-可光滑Banach空间的情况,综合利用鞅极大不等式和遍历极大不等式,证明了鞅遍历过程的一些极大不等式.     

Banach空间值鞅的原子分解

研究了B值鞅的若干类型的原子 ,讨论了B值鞅的原子分解以及在 0 <α≤1情形某些鞅空间的相互关系 ,其中的结果与值空间的凸性和光滑性有着密切的联系 .     

CONVERGENCE THEOREMS AND MAXIMAL INEQUALITIES FOR MARTINGALE ERGODIC PROCESSES

In this article, we study two types of martingale ergodic processes. We prove that a.e. convergence and L^p convergence as well as maximal inequalities, which are established both in ergodic theory and martingale setting, also hold well for these new sequences of random variables. Moreover, the corresponding theorems in the former two areas turn out to be degenerate cases of the martingale ergodic theorems proved here.     

NiTe电极材料的制备及其在超级电容器中的应用

采用二氧化碲(TeO2)为碲源,泡沫镍作为镍源及基底,水合肼(N2H4· H2O)为还原剂,利用一步水热法原位生长片状NiTe材料.将制得的NiTe作为超级电容器的电极材料,研究了水热温度对产物的微观形貌及电化学性能的影响规律,结果表明:当水热温度为180 ℃时,所制得的NiTe为均匀的片状结构,在三电极体系下获得的NiTe电极最大的质量比电容为603.6 F· g-1.利用 NiTe和AC 分别作为正极和负极,制备了非对称超级电容器(ASC).NiTe//AC ASC可以将电位窗口扩展到1.6 V,最大的能量密度和功率密度分别为25.8 Wh· kg-1和3994 W· kg-1.ASC显示出良好的循环稳定性,5000次循环之后保持了初始电容的83.3;.     

深切缅怀李国平院士——纪念李国平院士诞辰100周年

2010年11月15日, 是我们的恩师李国平院士诞辰100周年纪念日. 我们师从李先生凡数十年,每聆教诲, 获益良多, 春风化雨, 受用终身. 今距李先生仙逝, 又过去了十四年, 先生的音容笑貌与人格魅力仍时时浮现于眼前. 值此先生百年诞辰之际,谨以此文深切缅怀敬爱的李老师.     

LORENTZ MARTINGALE SPACES AND INTERPOLATION

In this article, the authors introduce some new Lorentz spaces for martingales, which are extensions of Hardy spaces of martingales. Then they discuss their basic properties, embedding relationships, and interpolation spaces between them, during which the use of rearrangement good-λ-inequality plays an important role.