有界对称域上的加权Bergman空间

On bounded symmetric domain Ω of Cn.we investigate the properties of functions in weighted Bergman spaces Ap(Ω,dvs)for 0＜P≤ ∞and-1＜s＜ ∞.Based on the estimate of Bergman kernel,we obtain some characterizations of functions in Ap(Ω,dvs)in terms of a class of linear operators Dα,β.Making use of these characterizations,we extend Ap(Ω,dvs)to the weighted Bexgman spaces APα,β(Ω,dvs)in a very natural way for 1≤p≤ ∞ and any real number s,that is,-∞＜s＜ ∞.This unified treatment covers some classical Bergman spaces,Besov spaces and Bloch spaces.Meanwhile,the boundedness of Bergman projection operators on Apα,β(Ω,dvs)and the dual of Apα,β,(Ω,dvs)are given.     

多圆柱上的Bloch空间上的加权复合算子的本性范数

设φ(z)=(φ_1(z),…,φ_n(z))是D~n到自身的一个全纯映射,Ψ(z)是D~n上的全纯函数,其中D~n是C~n中的单位多圆柱.本文研究了Bloch空间上加权复合算子ΨC_φ的本性范数.     

双连通域上的Riemann映照函数和相应的离散群

给出了把双连通域多值单叶共形映照到单位圆盘的Ｒｉｅｍａｎｎ映照函数和相应离散群的表示定理。     

关于亏格大子零的紧致黎曼曲面上的割迹

S.B.Myors证明了对亏格为零的紧致黎曼曲面的割迹C(p)上任一点q,在作为有限单纯复形的C(p)中从9点出发的一维胞腔的数目等于从p到q的极小测地线的数目。[2]用新的方法改进了其证明。本文证明了对亏格大于零的情形,相应的结论仍然成立。     

关於点到集映照的ε—上半连续性的注记

本文讨论中提到的点到集映照的ε-上半连续与其余三种常用到的上半连继性的关系。     

啁啾超短激光脉冲对二能级体系特性的调控

研究了啁啾超短激光脉冲与二能级体系近共振作用下的特性.采用光与物质相互作用的半经典理论,建立了含啁啾相位项的修正光学Bloch方程,并用高准确度、快速和可靠的四阶龙格-库塔法数值求解了该方程.通过数值计算,得到啁啾符号和啁啾量与Bloch矢量的关系,以及共振失谐量符号和啁啾符号对Bloch矢量性质影响的规律.结果表明,啁啾的符号和大小对Bloch矢量的瞬态相干过程和稳态特性都会产生明显的调制作用,由此可以通过调节激光脉冲的啁啾特性来实现对二能级体系性质的调控.     

上半平面的Hardy空间到增长型空间和Bloch空间的加权复合算子

讨论了从上半平面的H ardy空间Hp(Π+)到增长型空间A∞(Π+)和B loch空间B∞(Π+)的加权复合算子的有界性,得到以下结论:(i)uCφ是空间Hp(Π+)到A∞(Π+)之间的有界算子的充要条件;(ii)uCφ是空间Hp(Π+)到B∞(Π+)之间的有界算子的充要条件.     

Plasmonic Bloch oscillations and resonant Zener tunneling in subwavelength metal-dielectric-air waveguide superlattices

In this paper,we study the propagation properties of surface plasmon polaritons in plasmonic single-cavity superlattices and two-cavity superlattices which are composed of two kinds of alternately stacked subwavelength metal-dielectric-air waveguides with large dispersion.Theoretical predictions of plasmonic time-resolved Bloch oscillations existing in single-cavity superlat-tices and resonant Zener tunneling(ZT) occurring in two-cavity superlattices by the transfer matrix method(TMM) are well dem-onstrated by the numerical simulations on the propagation of SPPs pulse in the two kinds of superlattices by the finite-difference time-domain(FDTD) method.The two proposed superlattices can be conveniently fabricated by present nanotechnology,and the study may promote the realization of plasmonic BO and resonant ZT in nanoscale devices experimentally.