Bergman空间L1α(Ω)上的Toeplitz和Hankel算子

本文讨论了Bergman空间L1α(Ω)中Toeplitz和Hankel算子的W*紧性,得到与L2μ(Ω)上T-H算子紧性[4]类似的某些结果.     

Bergman空间L^1a（Ω）上的Toeplitz和Hankel算子

本文讨论了Bergman空间L^1a(Ω)中Toeplitz和Hankel算子的W^*紧性,得到与L^2a(Ω)上T－H算子紧性^[4]类似的某些结果。     

Cn中有界对称域上不同加权Bergman空间之间的复合算子

本文研究了Cn中有界对称域Ω上不同加权Bergman空间之间的复合算子,引入了η-αCarleson测度,利用它作为工具给出了有界的或紧的复合算子Cφ:Lαp(Ω,dνα)Lαq(Ω,dνβ)的特征.     

A^p（φ）上的Toeplitz算子与Berezin变换

讨论了加权Bergman空间A^p(φ）（1＜p＜∞）上的Toeplitz算子的有限乘积的有限和是紧算子当且仅当其Berezin变换在边界趋向于零。     

有界对称域上不同加权Bergman空间之间的复合算子

我们研究了Cn中有界对称域Ω上不同加权Bergman空间之间的复合算子,给出了有界和紧的复合算子C(?):Lαp(Ω,dvα)→Lαq(Ω,dvβ)(0相似文献   

多复变数Bloch空间上的复合算子

在本文中,我们研究了在Ｂｌｏｃｈ空间β（Ω）上复合算子Ｃ的有界性和紧性,其中,Ω是有界齐性域。当Ω＝Ｂｎ时,我们给出了Ｃ在β（Ｂｎ）或β０（Ｂｎ）上是紧的充要条件     

有界对称区域上Dirichlet空间中的紧Toeplitz算子

介绍了有界对称区域Ω上Dirichlet空间中的Toeplitz算子的紧性:如果S是有限个Toeplitz算子乘积的有限和,S是紧算子当且仅当S的Berezin变换S(z)趋于0.     

Bergman空间A_α~p(B_n)上加权复合算子的紧差

该文研究了Bergman空间A_α~p(B_n)上加权复合算子差的紧性问题.给出了两个加权复合算子之差为紧算子的一些充分和必要判据.同时也给出了某个加权复合算子与有限个加权复合算子之和的差为紧算子的一个完全刻画.     

Bergman型空间到Bers型空间之加权复合算子

讨论了Bergman型空间H(p,μ)到Bers型空间H_β~∞、小Bers型空间H_(β,0)~∞上的加权复合算子,给出了加权复合算子有界性、紧性、弱紧性的充要条件,以及紧复合算子的角导数准则.本文还讨论了具有闭值域的加权复合算子,得到了一个充分条件.     

C~n中有界对称域上不同加权Bergman空间之间的复合算子

本文研究了Ｃｎ中有界对称域Ω上不同加权Ｂｅｒｇｍａｎ空间之间的复合算子,引入了η－Ｃａｒｌｅｓｏｎ测度,利用它作为工具给出了有界的或紧的复合算子Ｃ：Ｌａｐ（Ω,ｄｖａ）→Ｌａｐ（Ω,ｄｖβ）的特征     

A REPRESENTATION FORMULA RELATED TO SCHR(O)DINGER OPERATORS

Schr(o)dinger operator is a central subject in the mathematical study of quantum mechanics.Consider the Schrodinger operator H = -△ V on R, where △ = d2/dx2 and the potential function V is real valued. In Fourier analysis, it is well-known that a square integrable function admits an expansion with exponentials as eigenfunctions of -△. A natural conjecture is that an L2 function admits a similar expansion in terms of "eigenfunctions" of H, a perturbation of the Laplacian (see [7], Ch. Ⅺ and the notes), under certain condition on V.     

On a class of self-similar processes with stationary increments in higher order Wiener chaoses

We study a class of self-similar processes with stationary increments belonging to higher order Wiener chaoses which are similar to Hermite processes. We obtain an almost sure wavelet-like expansion of these processes. This allows us to compute the pointwise and local Hölder regularity of sample paths and to analyse their behaviour at infinity. We also provide some results on the Hausdorff dimension of the range and graphs of multidimensional anisotropic self-similar processes with stationary increments defined by multiple Wiener–Itô integrals.     

On a class of Riemann surfaces

It is considered the class of Riemann surfaces with dimT1 = 0, where T1 is a subclass of exact harmonic forms which is one of the factors in the orthogonal decomposition of the spaceΩH of harmonic forms of the surface, namely The surfaces in the class OHD and the class of planar surfaces satisfy dimT1 = 0. A.Pfluger posed the question whether there might exist other surfaces outside those two classes. Here it is shown that in the case of finite genus g, we should look for a surface S with dimT1 = 0 among the surfaces of the form Sg\K , where Sg is a closed surface of genus g and K a compact set of positive harmonic measure with perfect components and very irregular boundary.     

CONTENTS OF VOLUME 30

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Instructions for contributions

正Applied Mathematics-A Journal of Chinese Universities,Series B(Appl.Math.J.Chinese Univ.,Ser.B)is a comprehensive applied mathematics journal jointly sponsored by Zhejiang University,China Society for Industrial and Applied Mathematics,and Springer-Verlag.It is a quarterly journal with     

Journal of Mathematical Research with Applications Guide for Authors

正Journal overview:Journal of Mathematical Research with Applications(JMRA),formerly Journal of Mathematical Research and Exposition(JMRE)created in 1981,one of the transactions of China Society for Industrial and Applied Mathematics,is a home for original research papers of the highest quality in all areas of mathematics with applications.The target audience comprises:pure and applied mathematicians,graduate students in broad fields of sciences and technology,scientists and engineers interested in mathematics.     

Staircase transportation problems with superadditive rewards and cumulative capacities

A cumulative-capacitated transportation problem is studied. The supply nodes and demand nodes are each chains. Shipments from a supply node to a demand node are possible only if the pair lies in a sublattice, or equivalently, in a staircase disjoint union of rectangles, of the product of the two chains. There are (lattice) superadditive upper bounds on the cumulative flows in all leading subrectangles of each rectangle. It is shown that there is a greatest cumulative flow formed by the natural generalization of the South-West Corner Rule that respects cumulative-flow capacities; it has maximum reward when the rewards are (lattice) superadditive; it is integer if the supplies, demands and capacities are integer; and it can be calculated myopically in linear time. The result is specialized to earlier work of Hoeffding (1940), Fréchet (1951), Lorentz (1953), Hoffman (1963) and Barnes and Hoffman (1985). Applications are given to extreme constrained bivariate distributions, optimal distribution with limited one-way product substitution and, generalizing results of Derman and Klein (1958), optimal sales with age-dependent rewards and capacities.To our friend, Philip Wolfe, with admiration and affection, on the occasion of his 65th birthday.Research was supported respectively by the IBM T.J. Watson and IBM Almaden Research Centers and is a minor revision of the IBM Research Report [6].