Oscillatory singular integrals on and Hardy spaces

We consider boundedness properties of oscillatory singular integrals on and Hardy spaces. By constructing a phase function, we prove that boundedness may fail while boundedness holds for all . This shows that the theory and theory for such operators are fundamentally different.

     

Asymmetric Coupling of Carbon-Centered Radicals Adjacent to Nitrogen: Copper-Catalyzed Cyanation and Etherification of Enamides

The first copper-catalyzed asymmetric cyanation and etherification reactions of enamides have been established, where a carbon-centered radical adjacent to a nitrogen atom (CRAN) is enantioselectively trapped by a chiral copper(II) species. Moreover, the asymmetric cyanation of vinyl esters was disclosed as well. These reactions feature very mild reaction conditions and high functional group tolerance, and give a series of chiral α-cyano amides, α-cyano esters and α-hemiaminals in good yields with excellent enantioselectivity. The chiral α-cyano amides can be easily converted into enantioenriched 1,2-diamines and amino acids.     

Singular integrals with rough kernels along real-analytic submanifolds in

mapping properties will be established in this paper for singular Radon transforms with rough kernels defined by translates of a real-analytic submanifold in .

     

大带隙二维三角格子光子晶体结构参数的优化设计

光子晶体结构设计优化是理论研究的一个重要内容.运用平面波展开法对圆柱、方柱及正六边柱构造的二维三角格子光子晶体的禁带进行仿真计算,讨论了介质材料分别为GaAs、Si和Ge情况下,柱子形状、旋转角度、填充比的变化对完全光子禁带的影响.发现:对于二维三角格子光子晶体,相对于介质柱,空气柱更易获得完全光子禁带;而相对于圆柱及...     

FDTD法对二维正方格子光子晶体带隙的数值计算

通过optiFDTD模拟软件对二维椭圆柱构造的正方格子光子晶体的禁带特性进行了数值模拟。分别研究了在空气中椭圆介质(Ge,Si,GaAs)柱和在介质(Ge,Si,GaAs)中椭圆空气柱构造的二维正方格子光子晶体中椭圆柱的横轴半径和纵轴半径的大小,以及椭圆柱的不同旋转角度对光子禁带的影响;并计算出了在上述两种情况下的空气和介质中的最优结构参数。     

TiO2/CNTs复合材料涂覆隔膜的制备及在锂硫电池中的应用

以金属有机框架材料MIL-125(Ti)为模板制备了多孔TiO₂, 同时引入碳纳米管, 得到碳纳米管交联包覆多孔TiO₂的三维导电复合材料. 将该复合材料涂覆在隔膜表面并应用于锂硫电池. 利用透射电子显微镜(TEM)、 扫描电子显微镜(SEM)和X射线光电子能谱仪(XPS)等对材料的结构和组成进行了表征. 电化学测试结果表明,在0.5C(1C=1675 mA/g)倍率下, CNTs/S复合正极材料表现出高达1051.1 mA·h/g的放电容量, 循环150周后仍可保持在904.8 mA·h/g. 在1C倍率下, 放电容量最高可达1036.9 mA·h/g, 循环250周后仍有763.0 mA·h/g, 展现出了良好的倍率性能和循环稳定性.     

A singular integral operator with rough kernel

Let be a bounded radial function and an function on the unit sphere satisfying the mean zero property. Under certain growth conditions on , we prove that the singular integral operator

is bounded in for .

     

A Note on a Marcinkiewicz Integral Operator

We prove the L_p boundedness of Marcinkiewicz integral operators with rough kernels on ℝⁿ and T ⁿ.