Endpoint estimates for certain commutators of fractional and singular integrals

In this paper, the authors obtain the endpoint estimates for a class of non-standard commutators with higher order remainders and their variants. Moreover, the authors show that these operators are actually not bounded in certain cases.

     

局部域上的仿交换算子与Schatten类性质

设Tb^s是局部域K上带符号b的仿交换算子，本文证明了当Tb^st定义式中函数A（ξ，η）满足一定的条件时，Tb^st∈Sp的充要条件是b∈Bp^s t 1/p。     

聚苯硫醚／石墨基双极板复合材料性能的研究

以聚苯硫醚树脂和人造石墨为原料一次模压成型制备双极板复合材料.研究了模压成型过程中加压时机、冷却方式及人造石墨原料对复合材料电导率和弯曲强度的影响.结果表明,制备聚苯硫醚/石墨基双极板材料宜选用石墨化程度较高且结构密实的石墨粉料;采用保温后加压及空气中冷却方式制备的复合材料的综合性能较优.     

模糊半群上的模糊同余及其扩张

给出模糊半群上的模糊同余的概念，并进一步研究它的一些基本代数性质。同时研究带有模糊半群上的模糊同余扩张性质(FCEPF)的半群类，得到一个半群有模糊半群上的模糊同余扩张性质、有模糊同余扩张性质(FCEP)、有同余扩张性质(CEP)三个条件是等价的。     

四羧基锰酞菁作为超氧化物歧化酶和过氧化物酶模拟酶的研究

用核黄素 蛋氨酸光照法和黄嘌呤氧化酶 细胞色素C还原法证实,在1.0×10-6～1.0×10-5mol/L范围内四羧基锰酞菁(TcPcMn)表现出良好的清除超氧阴离子自由基(O—·2)的活性;用黄嘌呤氧化酶 NBT还原法测算出的TcPcMn清除O—·2的二级反应速率常数为7.77×105mol-1·L·s-1,表明TcPcMn作为超氧化物歧化酶(SOD)模拟酶能很好的抑制O—·2的还原性.TcPcMn既能催化H2O2与4 氨基安替比林和酚的显色反应,也能催化邻苯二胺的聚合,表明TcPcMn具有过氧化物酶(POD)活性.用邻苯三酚自氧法得出,TcPcMn将O—·2的氧化性转化成了POD和H2O2的氧化性.因此只要牺牲一定的POD底物,TcPcMn就可以清除掉因歧化O—·2而产生的H2O2,继而能避免因发生Fenton反应而产生氧化性高于O—·2的羟自由基,从而彻底消除O—·2的氧化性,与SOD相比,这是TcPcMn的一个优势.     

Na离子和Cl离子引起He原子直接多重电离过程的研究

利用2～8 MeV的Naq+、Clq+(q=2,3,4,5)轰击氦原子,对碰撞的直接多重电离过程进行研究.实验采用反冲离子-散射离子飞行时间符合技术,通过反冲离子飞行时间谱区分不同价态反冲离子;利用静电偏转和位置灵敏探测技术区分不同电荷态散射离子;结合CAMAC-PC多参数获取系统得到一定价态散射离子所对应的反冲离子电荷态分布谱;经分析该谱得到直接多重电离截面与直接单电离截面之比R21.讨论了R21随入射离子速度和电荷态的变化关系.     

一类广义Lanchester模型的数值解及若干结论

本讨论了一类广义的Lanchester模型在一些限制条件下的近似解，并给出了若干结论。     

光学系统光阑应用的实例

介绍了一种光学组合系统，通过构造光学系统虚拟的视场光阑实现人眼屈光度测量，它是光学系统光阑应用的生动实例.     

Nonlinear rheological behavior of silica filled solution‐polymerized styrene butadiene rubber

The reinforcement and nonlinear viscoelastic behavior have been investigated for silica (SiO₂) filled solution‐polymerized styrene butadiene rubber (SSBR). Experimental results reveal that the nonlinear viscoelastic behavior of the filled rubber is similar to that of unfilled SSBR, which is inconsistent with the general concept that this characteristic comes from the breakdown and reformation of the filler network. It is interesting that the curves of either dynamic storage modulus (G′) or loss tangent (tan δ) versus strain amplitude (γ) for the filled rubber can be superposed, respectively, on those for the unfilled one, suggesting that the primary mechanism for the Payne effect is mainly involved in the nature of the entanglement network in rubbery matrix. It is believed there exists a cooperation between the breakdown and reformation of the filler network and the molecular disentanglement, resulting in enhancing the Payne effect and improving the mechanical hysteresis at high strain amplitudes. Moreover, the vertical and the horizontal shift factors for constructing the master curves could be well understood on the basis of the reinforcement factor f(φ) and the strain amplification factor A(φ), respectively. The surface modification of SiO₂ causes a decrease in f(φ), which is ascribed to weakeness of the filler–filler interaction and improvement of the filler dispersion. However, the surface nature of SiO₂ hardly affects A(φ). © 2007 Wiley Periodicals, Inc. J Polym Sci Part B: Polym Phys 45: 2594‐2602, 2007