混合范数空间中函数的Taylor系数

本文研究了混合范数空间Ｈ（ｐ，ｑ，ａ）中解析函数ｆ的Ｔａｙｌｏｒ系数，对０＜ｐ≤２，０＜ｑ＜∞，ａ＞０和２≤ｐ＜∞，０＜ｑ＜∞，ａ＞０两种情形，分别给出了ｆ属于Ｈ（ｐ，ｑ，ａ）的必要条件和充分条件。用上述结果我们还得到了几个关于混合范数空间的乘子定理，这些结果也推广了Ｈａｒｄｙ和Ｌｉｔｔｌｅｗｏｏｄ关于Ｈ＾ｐ空间的相应结论。     

Processes associated with ionic current rectification at a 2D-titanate nanosheet deposit on a microhole poly(ethylene terephthalate) substrate

Films of titanate nanosheets (approx. 1.8-nm layer thickness and 200-nm size) having a lamellar structure can form electrolyte-filled semi-permeable channels containing tetrabutylammonium cations. By evaporation of a colloidal solution, persistent deposits are readily formed with approx. 10-μm thickness on a 6-μm-thick poly(ethylene-terephthalate) (PET) substrate with a 20-μm diameter microhole. When immersed in aqueous solution, the titanate nanosheets exhibit a p.z.c. of − 37 mV, consistent with the formation of a cation conducting (semi-permeable) deposit. With a sufficiently low ionic strength in the aqueous electrolyte, ionic current rectification is observed (cationic diode behaviour). Currents can be dissected into (i) electrolyte cation transport, (ii) electrolyte anion transport and (iii) water heterolysis causing additional proton transport. For all types of electrolyte cations, a water heterolysis mechanism is observed. For Ca²⁺ and Mg²⁺ions, water heterolysis causes ion current blocking, presumably due to localised hydroxide-induced precipitation processes. Aqueous NBu₄⁺ is shown to ‘invert’ the diode effect (from cationic to anionic diode). Potential for applications in desalination and/or ion sensing are discussed.

     

Investigation on improving characteristics of two-cell SBS system with CCl4/C2H5OH liquid mixture

In order to improve the performance of the two-cell stimulated Brillouin scattering （SBS） system, this paper proposes the methods of using mixtures, which require amplifier media to have small absorption rate, and generator media to have high optical breakdown threshold and Brillouin frequency shift equal to that of the amplification media. The characteristics of the two-cell SBS system are studied experimentally by using CCl4 as amplifier medium and CCl4, C2H5OH and CCl4/C2H5OH liquid mixture as generator medium pumped by Nd：YAG Q-switched laser. The obtained results show that liquid mixture in generator cell improves the power load ability, phase conjugation fidelity, energy reflectivity （ER） and ER stability.     

基于SBS光限幅和金属酞菁光限幅相结合的复合型光限幅器的研究

为了使受激布里渊散射(SBS)光限幅器的输出能量更"平",提出了一种基于SBS光限幅和金属酞菁光限幅相结合的复合型光限幅器的方案,即SBS光限幅后边放置金属酞菁光限幅,在两种光限幅器的共同限幅作用下,使复合型光限幅器的输出光能量更"平". 数值模拟了该复合型光限幅器的输出光能量随入射光强度的变化曲线,并在Countinuum's Nd: YAG种子注入式激光器中进行了实验验证. 理论和实验结果均表明,复合型光限幅器的输出光能量比单独SBS光限幅器更"平". 关键词： 复合型光限幅器 SBS光限幅 金属酞菁限幅     

M(o)bius不变的Qp空间:结果、技巧和问题

本文是关于Mobius不变的Qp函数空间方面的综述文章，给出了近10年来有关Qp函数空间的若干结果、技巧和问题。     

Hardy－Littlewood Theorems in Mixed Norm Spaces on Bounded Symmetric Domain of C~n

Ｈａｒｄｙ－ＬｉｔｔｌｅｗｏｏｄＴｈｅｏｒｅｍｓｉｎＭｉｘｅｄＮｏｒｍＳｐａｃｅｓｏｎＢｏｕｎｄｅｄＳｙｍｍｅｔｒｉｃＤｏｍａｉｎｏｆＣ~ｎ￥（乌兰哈斯）ＷｕｌａｎＨａｓｉ（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＩｎｎｅｒＭｏｎｇｏｌｉａＮ?..     

硫氰酸铵树脂相分光光度法同时测定天然水中微量铁和钴

研究了在Ｔｗｅｅｎ－８０存在的酸性介质中，Ｆｅ（Ⅲ）和Ｃｏ（Ⅱ）与ＳＣＮ＾－形成稳定的有色络阴离子与阴树脂交换吸附，有色络合物富集显色于树脂组上，进行树脂组分光光度集显色于树脂相上，进行树脂相分光光度法同时测定铁和钴的实验条件，Ｆｅ（Ⅲ）和Ｃｏ（Ⅱ）树脂具有色络合物最大吸收波长λｍａｘ分别为４９０ｎｍ和６３０ｎｍ，摩尔吸光系数，ε为２．４×１０＾５Ｌ．ｍｏｌ＾－１．ｃｍ＾－１和２．１×１０＾５Ｌ．