VECTOR-VALUED RANDOM POWER SERIES ON THE UNIT BALL OF C^n

In this article, the authors study the vector-valued random power series on the unit ball of Cn and get vector-valued Salem-Zygmund theorem for them by using martingale technique. Further, the relationships between vector-valued random power series and several function spaces are also studied.     

Hydrothermal Synthesis and Structure of a Copper(II) Complex, [Cu(4,4''''bpy)(H_2O)_3]SO_42H_2O

1 INTRODUCTION Recently, there has been increasing interest in crystal engineering of supramolecular architectures by means of covalent bonding, hydrogen bonding or other weak intermolecular interactions[1, 2], which reflect their potential applications in host-guest che- mistry, catalysis and function materials[3～5]. The construction of such materials is mainly provided by geometry of transition metal extending through rigid ligands. The oxidation state and coordination predisposition …     

NTJ炸药及其在矿山爆破中的应用

NTJ炸药是一种新型液体混合炸药,工艺简单,成本低廉,爆轰性能优良,特别是高爆热,综合爆轰性能优于50/50 TNT/RDX,在矿山爆破中,可以代替50/50 TNT/RDX起爆浆状炸药。在白云铁矿进行现场试用,效果良好。     

弱Orlicz鞅空间的原子分解

本文对于几种类型的弱Orlicz 鞅空间建立了强型和弱型的原子分解定理, 证明了这些空间上的次线性算子的有界性以及这些空间彼此的连续嵌入关系. 弱Orlicz 空间是一类拟Banach 空间, 有关结论扩展了现有的关于Orlicz 空间和弱型Lorentz 空间的相关结论.     

次可分解算子的不变子空间格的丰富性

证明了一类次可分解算子的不变子空间格是丰富的,并举例说明存在Hilbert空间上的有界线性算子T,它有无穷多个不变子空间,但是它的不变子空间格Lat(T)不丰富．     

鞅不等式与 Banach 空间的凸性和光滑性

我们用 B 值鞅的 P 方函数 S~(p)f 的 a.e.有限性刻划了 Banach 空间的p 一致可凸性质,建立了这种函数的凸Φ函数不等式,讨论了这些不等式成立的条件,鞅变换的性质以及鞅的局部收敛性与 Banach 空间的 q一致凸性和 p一致光滑性的关系,同时给出了超自反空间以及与 Hilbert 空间同构的 Banach空间的特征.     

鞅空间与Banach空间的几何性质

本文建立了Banach空间值鞅的极大函数与p均方函数的若干不等式,讨论了某些类型的B值鞅空间的相互关系,给出了Banach空间的凸性和光滑性的若干等价条件.     

复测度鞅空间及其对偶

本文在Ψ满足（Ｋ）条件或　　　的条件下，讨论了关于复测度ｄμ＝Ψｄｖ的鞅空间　　　　和ａＫ＿ｐ．证明了它们之间的等价性以及与关于非负测度ｄｖ的相应鞅空间的同构性，给出了它们的对偶空间，特别地Ｈ１＝ＢＭＯ，最后证明了关于复测度软的均方算子Ｓ（ｆ）是弱（１，１）有界的。     

TRANSFORMS, DIFFERENTIAL SUBORDINATIONS AND A_p-WEIGHTED INEQUALITIES FOR BANACH-SPACE-VALUED REGULAR MARTINGALES

In this paper we proved the A_p-weighted inequalities for martingale transforms and differential subordinations of Banach-space-valued regular maringales. We discussed the relations between the weighted inequalities, A_p-weight functions and the Banach spaces which has the UMD property or are isomorphic to Hilbert space.