DECOMPOSITION THEOREMS FOR Qp SPACES WITH SMALL SCALE p ON THE UNIT BALL OF Cn

This article is devoted to studying the decomposition of functions of Q p spaces,which unify Bloch space and BMOA space in the scale of p.A decomposition theorem is established for Q p spaces with small scale p,(n-1)/np≤1 by means of p-Carleson measure and the Bergman metric on the unit ball of C n.At the same time,a decomposition theorem for Q p,0 spaces is given as well.     

A NOTE ON THE MEAN CURVATURE FLOW IN RIEMANNIAN MANIFOLDS

Under the hypothesis of mean curvature flows of hypersurfaces, we prove that the limit of the smooth rescaling of the singularity is weakly convex. It is a generalization of the result due to G.Huisken and C. Sinestrari in. These apriori bounds are satisfied for mean convex hypersurfaces in locally symmetric Riemannian manifolds with nonnegative sectional curvature.     

HIGHER ORDER SINGULAR INTEGRAL EQUATIONS ON COMPLEX HYPERSPHERE

A theory of a class of higher order singular integral under the operator(Lf)(u)=1/(ū [ū1 f u 1(u) 1 f ū1(u)+f(u)] is given.We transform the higher order singular integral to a usual Cauchy integral,extend the permutation formula of the higher order singular integral deduced by Qian and Zhong in [4] to a general case,and discuss the regularization problem of the higher order singular integral equations with Cauchy kernel and variable coefficients on complex hypersphere.     

THE POINCAR-BERTRAND FORMULA ON THE BUILDING DOMAIN OF COMPLEX BIBALLS

The Poincaré-Bertrand formula takes an important position in the study of complex singular integral.The Poincaré-Bertrand formula on the complex sphere in the multidimensional complex Euclidian spaces was given by Sheng Gong.Using the method of solid angular coefficient,the authors extend the Poincaré-Bertrand formula on the complex sphere to the building domain of the complex biballs,and obtain a more general Poincaré-Bertrand formula with the solid angular coefficients.     

AVERAGE ONESIDED WIDTHS OF SOBOLEV AND BESOV CLASSES

The article concerns the average onesided widths of the Sobolev and Besov classes and the classes of functions with bounded moduli of smoothness. The weak asymptotic results are obtained for the corresponding quantities.     

ESTIMATOR COMPETITION FOR POISSON PROBLEMS

We compare 13 different a posteriori error estimators for the Poisson problem with lowest-order finite element discretization. Residual-based error estimators compete with a wide range of averaging estimators and estimators based on local problems. Among our five benchmark problems we also look on two examples with discontinuous isotropic diffusion and their impact on the performance of the estimators. （Supported by DFG Research Center MATHEON.）     

基于电泳法和磁控溅射技术制备金纳米阵列

采用纳米球刻蚀技术中的电泳法设计了3组对照实验,通过控制电压、悬浮液的体积分数和基板正负极性,得到电泳法制备纳米球掩膜板的最佳条件,制备出排布均匀的纳米球单层密堆积结构的掩膜板.采用磁控溅射技术在掩膜板上沉积金薄膜,去除纳米球掩模板,通过扫描电子显微镜观察到周期排列的三角形棱台状金纳米颗粒阵列.测量其吸收光谱,可观察到表面等离子体共振吸收峰.     

等效求解电介质球内退极化场的前提的证明

求解均匀极化的电介质球内的退极化场时,由于球面上极化面电荷分布不均匀,一般都用两等大、原本重叠、带均匀等量异号电荷的球体错开微小位移的模型来等效地求解;但这种模型为何与原情景等效,是令初学者困惑的地方.对此,文章给出了一个简单的证明.     

NaYF4∶Yb3+,Tm3+负载壳聚糖微球的制备及发光性质研究

采用溶剂热法合成了聚乙烯亚胺(PEI)修饰的NaYF4∶Yb3+,Tm3+纳米晶。产物具有良好的结晶性,粒径分布均匀,可稳定分散在水溶液中。通过微乳法制备了NaYF4∶Yb3+,Tm3+纳米晶负载壳聚糖微球。结果表明:纳米晶均匀地嵌在壳聚糖微球的表面壳层,球核为纯壳聚糖的交联产物。粗糙的球体表面使微球具有较好的分散性。在980 nm近红外光激发下,纳米晶负载壳聚糖微球具有良好的上转换发光特性,发光强度随纳米晶负载量的增加而增大,通过调控纳米晶的负载量可实现对纳米晶负载壳聚糖微球发光强度的调控。     

匀质球壳模型的溯源与拓展

从一道高考选择题出发,追溯题源、深挖内涵、拓展应用,以引发平时课堂教学中对物理思维方法渗透的期待,同时引导学生学会科学迁移,有效地培养学生创新精神和实践能力.