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Compact Operators on Weighted Bergman Spaces of the Unit Ball

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Journal of mathematical research with Applications 2012年第1期32卷 83-94页

作者： Jun YANG 1,Yu Feng LU 2,1.College of Arts and sciences,Shanghai Maritime university,Shanghai 201306,p.r.china 2.school of mathematical sciences,dalian university of technology,liaoning 116024,p.r.china College of Arts and sciences Shanghai Maritime University Shanghai 201306 school of mathematical sciences Dalian University of Technology Liaoning 116024

In this paper,we study the compact operators on weighted Bergman spaces of the unit *** Miao and Zheng'result in 2004,we obtain the necessary and sufficient conditions for the operator to be compact on weighted Bergma... 详细信息

关键词： compact operator unit ball weighted Bergman space.

The Micro/Nanostructure Characteristics and the Mechanical properties of Hemifusus tuba Conch Shell

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Journal of Bionic Engineering 2010年第4期7卷 3+308-313页

作者： Yan Liang~1,Jie Zhao~2,Chengwei Wu~1 1.State Key Laboratory of Structural Analysis for Industrial Equipment,Department of Engineering Mechanics,dalian university of technology,dalian 116024,p.r.china 2.school of Materials Science and Engineering,dalian university of technology,dalian 116024,p.r.china State Key Laboratory of Structural Analysis for Industrial Equipment Department of Engineering Mechanics Dalian University of Technology Dalian P. R. China school of Materials Science and Engineering Dalian University of Technology Dalian P. R. China

The mollusk shell mobilizes calcium from environment for skeletal *** occurs through synthesizing solidsin solution in the presence of organic molecules of specific interior regions of the conch *** ultrastructure and microhardnessof the Hemifusus tuba conch shell living in the Huang/Bo sea area are investigated in the *** is shown that thecomposition and microstructure of the mollusk shell vary in different *** prodissoconch shell consists only of aragonitewith the crossed-lamellar *** the spiral shell and the body shell of the Hemifusus tuba conch shell arecomposed of one calcite layer and several aragonite *** calcite layer consists of cylindrical grains,but the aragonitelayers are crossed-lamellar ultrastructure at three size *** minimum structure size (the third-order lamella) is at about20 nm - 80 *** margin of shell aperture is only composed of calcite with cylindrical *** natural optimization of theshell microstructure is intimately due to the growth of the Organic *** different positions the microhardness of molluscshell is different due to different crystal structures and crystal *** growth process of shells allows a constantrenewal of the material,thus enabling their functional adaptation to external environments.

关键词： conch shell microstructure aragonite calcite crossed-lamellar

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Comparison of CSC method and the B-net method for deducing smoothness condition

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progress in Natural Science:Materials International 2009年第1期19卷 25-31页

作者： renhong Wang,Kai Qu Institute of mathematical sciences,dalian university of technology,dalian 116024,china Institute of mathematical sciences Dalian University of Technology Dalian 116024 China

The first author of this paper established an approach to study the multivariate spline over arbitrary partition,and presented the so-called conformality method of smoothing cofactor(the CSC method).Farin introduced the B-net method which is suitable for studying the multivariate spline over simplex *** paper indicates that the smoothness conditions obtained in terms of the B-net method can be derived by the CSC method for the spline spaces over simplex partitions,and the CSC method is more capable in some sense than the B-net method in studying the multivariate spline.

关键词： Multivariate spline Smoothing cofactor Global conformality condition B-net method Smoothness condition

risk Evaluation and Capital Allocation Based on TVar and EVar with Copula

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Journal of mathematical research with Applications 2012年第3期32卷 355-365页

作者： Jinghai FENG,Lixin SONG,Zhineng FU school of mathematical sciences,dalian university of technology,liaoning 116024,p.r.china school of mathematical sciences Dalian University of Technology Liaoning 116024

In this paper,the expressions of tail value of risk(TVar)and exponential tail value of risk(EVar)for the total risk portfolio are given,which are splitted into two cases: the bivariate case and the multivariate case according to the number of the *** the risk contributions of the insurances portfolio and the credit portfolio are also obtained. Further more,for clarifying the above results,a numerical example is given.

关键词： capital allocation tail value of risk exponential tail value of risk copula.

Tchebyshev Approximation by S01（△） over Some Special Triangulations

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Journal of mathematical research with Applications 2012年第1期 1-10页

作者： ren Hong WANG 1,,Wei DAN 1,2 1.school of mathematical sciences,dalian university of technology,liaoning 116024,p.r.china 2.school of mathematical and Computational sciences,Guangdong university of Business Studies,Guangdong 510320,p.r.china

The critical point set plays a central role in the theory of Tchebyshev ***,in multivariate Tchebyshev approximation,it is not a trivial task to determine whether a set is critical or *** this paper,we study the characterization of the critical point set of S 0 1(△) in geometry,where is restricted to some special triangulations(bitriangular,single road and star triangulations).Such geometrical characterization is convenient to use in the determination of a critical point set.

关键词： Tchebyshev approximation bivariate splines S 0 1(△).

Minimal Surfaces in a Unit Sphere

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Journal of mathematical research with Applications 2012年第3期32卷 346-354页

作者： Zhonghua HOU,Dan YANG school of mathematical Science,dalian university of technology,liaoning 116024,p.r.china school of mathematical Science Dalian University of Technology Liaoning 116024

Let M be a closed surface with positive Gauss curvature minimally immersed in a standard Euclidean unit sphere S;.In this paper,we choose a local orthonormal frame field on M,under which the shape operators have very ... 详细信息

关键词： minimal surface Gauss curvature normal scalar curvature.

Solvability of Elliptic Boundary Value problems without Standard Landesman-Lazer Condition

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Acta Mathematica Sinica,English Series 2000年第2期16卷 349-359页

作者： Zhiqing Han Department of Applied Mathematics.dalian university of technology,dalian 116024,p.r.china Department of Applied Mathematics Dalian University of Technology Dalian 116024 P. R. China

In this paper we prove a very general result concerning solvability of the resonant problem: Δu+λku+g（x, u）=h（x）;u=0, xΩ, which immediately gives three generalized Landesman-Lazer conditions. The most interesting application of the general result is concerned with the problem when λk=λ1. in which case we prove solvability results for it under conditions which are not the standard Landesman-Lazer condition or only partly enjoy it. Furthermore, we propose a new sign condition and give a comprehensive extension of a main result of Figueiredo and Ni.

关键词： Elliptic boundary value problems Leray-Schauder degree continuation method Landesman-Lazer condition Semi-Landesman-Lazer conditions Sign condition

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products of Toeplitz Operator on the Weighted Bergman Space of the Unit Ball

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Journal of mathematical research with Applications 2012年第4期32卷 439-449页

作者： Kan ZHANG 1,2,Yufeng LU 1, 1.school of mathematical sciences,dalian university of technology,liaoning 116024,p.r.china 2.College of sciences,Shenyang Agricultural university,liaoning 110866,p.r.china school of mathematical sciences Dalian University of Technology Liaoning 116024

We consider the question for what kind of square integrable holomorphic functions f,g on the unit ball the densely defined products TfTg-are invertible and Fredholm on the weighted Bergman space of the unit *** furthermore obtain necessary and sufficient conditions for bounded Haplitz products HfTg-,where f∈L2(Bn,dvα) and g is a square integrable holomorphic function.

关键词： Toeplitz operator Bergman space unit ball Hankel operator.

rEAL pIECEWISE ALGEBrAIC VArIETY

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Journal of Computational Mathematics 2003年第4期21卷 473-480页

作者： ren-hong Wang Yi-sheng Lai (Institute of mathematical sciences, dalian university of technology, dalian 116024, china) Institute of mathematical sciences Dalian University of Technology Dalian 116024

We give definitions of real piecewise algebraic variety and its dimension. By using the techniques of real radical ideal, p-radical ideal, affine Hilbert polynomial, Bernstein-net form of polynomials on simplex, and decomposition of semi-algebraic set, etc., we deal with the dimension of the real piecewise algebraic variety and real Nullstellensatz in Cμ spline ring.

关键词： Dimension real piecewise algebraic variety Cμ spline ring.

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