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The Principal Eigenvalue for Jump Processes

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Acta Mathematica Sinica,English Series 2000年第3期16卷 361-368页

作者： Mufa Chen department of mathematics,Beijing normal university,Beijing 100875,P.R.china department of mathematics Beijing Normal University Beijing 100875 P. R. China

A variational formula for the lower bound of the principal eigenvalue of general Markov jump processes is *** result is complete in the sense that the condition is fulfilled and the resulting bound is sharp for Markov... 详细信息

关键词： Principal eigenvalue Jump processes Variational formula for Dirichlet form

On the Cardinal Spline Interpolation Corresponding to Infinite Order Differential Operators

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Acta Mathematica Sinica,English Series 1994年第3期10卷 315-324页

作者： Chen Dirong department of mathematics Beijing normal university Beijing,100875 and Center for Mathematical Sciences zhejiang university Hangzhou,310027 china 1. department of mathematics Beijing Normal University 100875 Beijing 2. Center for Mathematical Sciences Zhejiang University 310027 Hangzhou China

This paper discusses some problems on the cardinal spline interpolation correspond- ing to infinite order differential *** remainder formulas and a dual theorem are es- tablished for some convolution classes,where the kernels are PF ***,the exact error of approximation of a convolution class with interpolation cardinal splines is determined. The exact values of average n-Kolmogorov widths are obtained for the convolution class.

关键词： Math On the Cardinal Spline Interpolation Corresponding to Infinite Order Differential Operators lim Chen 卜成

ON THE SPLITTINGS FOR RECTANGULAR SYSTEMS

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Journal of Computational mathematics 1995年第4期13卷 337-342页

作者： H.J. Tian(department of mathematics, Shanghai normal university, Shanghai, china) SHANGHAI normal UNIV DEPT MATHSHANGHAIPEOPLES R CHINA

Recently, M. Hanke and M. Neumann([4]) have derived a necessary and sufficient condition on a splitting of A = U-V, which leads to a fixed point system, such that the iterative sequence converges to the least squares solution of minimum a-norm of the system Ax = b. In this paper, we give a necessary and sufficient condition on the splitting such that the iterative sequence converges to the weighted Moore-Penrose solution of the system Ax = b for every to is an element of C-n and every b is an element of C-m. We also provide a necessary and sufficient condition such that the iterative sequence is convergent for every to x(0) is an element of C-n.

关键词： AR Math ON THE SPLITTINGS FOR RECTANGULAR SYSTEMS

A new definition of restricted Lie superalgebras

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Chinese Science Bulletin 2000年第4期45卷 316-321页

作者： WANG Ying & ZHANG Yongzheng1. department of mathematics, Harbin Institute Technology, Harbin 150001, china 2. department of mathematics, Northeast normal university, Changchun 130024, china department of mathematics Harbin Institute Technology Harbin China department of mathematics Northeast Normal University Changchun China

A new definition of restricted Lie superalgebras has been given; some important results on the representation theory of restricted Lie superalgebra have been obtained.

关键词： restricted Lie superalgebra p-mapping p-semilinear mapping α-representation.

Some Endpoint Estimates for the Multiplier Operator

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Journal of Mathematical Research with Applications 2012年第3期32卷 337-345页

作者： Xiaoli CHEN 1,2 1.department of mathematics,Jiangxi normal university,Jiangxi 330022,P.R.china 2.department of mathematics,zhejiang university,zhejiang 310027,P.R.china department of mathematics Jiangxi Normal University Jiangxi 330022

In this paper,the author proves that Multiplier operator is bounded on BMO（R~n）,LMO（R~n） and CBMOρ,λ（R~n）respectively if some concellation conditions are satisfied.

关键词： multiplier operator BMO space LMO space λ-central BMO space.

Finite p-groups all of whose maximal abelian subgroups are soft

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Science china mathematics 2010年第11期53卷 3037-3040页

作者： QU HaiPeng department of mathematics, Shanxi normal university, Linfen 041004, china 1. department of mathematics Shanxi Normal University Linfen 041004 China

A subgroup A of a p-group G is said to be soft in G if CG(A) = A and |NG(A)/A| = p. In this paper we determined finite p-groups all of whose maximal abelian subgroups are soft; see Theorem A and Proposition 2.4.

关键词： soft subgroup p-group of maximal class

AVERAGE σ-K WIDTH OF CLASS OF L_p(R^n) IN L_q (R^n)

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Chinese Annals of mathematics,Series B 1995年第3期16卷 351-360页

作者： LIU YONGPING(department of mathematics, Beijing normal university, Beliing 100875, china.) BEIJING normal UNIV DEPT MATHBEIJING 100875PEOPLES R CHINA

The average σ-K width of the Sobolev-Wiener class in Lq(Rn) is studied for and the asymptotic behaviour of this quantity is determined. The exact value of average σ-K width of some class of smooth functions in L2(Rn... 详细信息

关键词： Average σ-K width Optimal subspace,Sobolev-Wiener class,Riesz potential.

SOLVING GENERALIZED FRACTIONAL PROGRAMMING WITH p+1-PARAMETER PROGRAMMING

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Chinese Science Bulletin 1989年第8期34卷 699-700页

作者：徐增堃 department of mathematics Zhejiang Normal University Jinhua

For the generalized fractional programming （P） where S is a nonempty subset of Rn, fi and gi are real-valued functions on S, and gi are positive on S, we propose the following program with p+1 parameters （α,θ）∈... 详细信息

关键词： nonempty fractional valued subset 吕才

Boundedness in Lebesgue spaces for commutators of multilinear singular integrals and RBMO functions with non-doubling measures

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Science china mathematics 2007年第3期50卷 361-376页

作者： Jing-shi XU department of mathematics, Hunan normal university, Changsha 410081, china department of mathematics Hunan Normal University Changsha 410081 China

The boundedness in Lebesgue spaces for commutators generated by multilinear singular integrals and RMBO(μ) functions of Tolsa with non-doubling measures is obtained, provided that ∥μ∥ = ∞ and multilinear singular... 详细信息

关键词： multilinear singular integral commutator maximal function non-doubling measure RMBO(μ) function Primary 42B20 Secondary 42B25