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Extremal problems on the Hua domain of the first type

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Science China mathematics 2005年第z1期48卷 343-354页

作者： SU Jianbing & yin weiping mathematics department, Xuzhou {4. {4., Xuzhou 221116, China mathematics department, capital normal university, beijing 100037, China 1. mathematics department Xuzhou Normal University 221116 Xuzhou China 2. mathematics department Capital Normal University 100037 Beijing China

In this paper we study some extremal problems between the Hua domain of the first type and the unit ball.

关键词： extremal problem, Hua domain of the first type, minimal circumscribed Hermitian ellipsoid.

Extremal problems on the generalized Hua domain of the first type

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Progress in Natural Science:Materials International 2006年第4期16卷 352-358页

作者： SU Jianbing and yin weiping department of mathematics, Xuzhou normal university, Xuzhou 221116, China department of {4., capital normal university, beijing 100037, China [a]department of mathematics Xuzhou Normal University Xuzhou China [b]department of mathematics Capital Normal University Beijing China

Some extremal problems between the generalized Hua domain of the first type and the unit ball are studied. The extremal mapping and extremal value in explicit formulas are also obtained.

关键词： extremal problem generalized Hua domain of the first type minimal circumscribed Hermitian ellipsoid.

MULTIPLICITY OF PERIODICSOLUTIONS OF DUFFING'S EQUATIONSWITH LIPSCHITZIAN CONDITIONMULTIPLICITY OF PERIODICSOLUTIONS OF DUFFING'S EQUATIONS WITH LIPSCHITZIAN CONDITION

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Chinese Annals of mathematics,Series B 2000年第4期21卷 479-488页

作者： wang ZAIHONG (department of mathematics, capital normal university,{4., China.) department of mathematics Capital Normal University Beijing 100037 China

This paper deals with the existence and multiplicity of periodic solutions of Duffing equations x + g(x) = p(t). The author proves an infinity of periodic solutions to the periodically forced nonlinear Duffing equations provided that g(x) satisfies the globally lipschitzian condition and the time-mapping satisfies the weaker oscillating property.

关键词： Periodic solution Time mapping Poincare-Birkhoff twist theorem

Pairing problem of generators in Kac-Moody algebras

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Chinese Science Bulletin 1998年第22期43卷 1872-1879页

作者： LU Caihui department of mathematics, capital normal university, beijing 100037, China department of mathematics Capital Normal University Beijing China

The following result is proved: in any Kac Moody algebra g(A) , (ⅰ) given any non central element h in the Cartan subalgebra  , or (ⅱ) given any real root vector x β, β∈Δ re . There exists y∈g(A) such that th... 详细信息

关键词： generator root system real root vector.

The Bergman kernels on Cartan-Hartogs domains

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Chinese Science Bulletin 1999年第21期44卷 1947-1951页

作者： yin weipingdepartment of mathematics ,{4.,{4., China department of mathematics Capital Normal University Beijing 100037 China

The main point is the calculation of the Bergman kernel for the so-called Cartan-Hartogs domains. The Bergman kernels on four types of Cartan-Hartogs domains are given in explicit formulas. First by introducing the id... 详细信息

关键词： Cartan domain Bergman kernel function Cartan-Hartogs domain.

Average Widths of Sobolev-Wiener Classes with Mixed Smoothness in L_q(R^d)

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Acta Mathematica Sinica,English Series 2001年第2期17卷 305-312页

作者： He Ping wang department of mathematics, capital normal university. {4., 100037, P. R. China department of mathematics Capital Normal University Beijing 100037 P. R. China

In this paper, the average σ-K width of Sobolev-Wiener classes Spqr W with mixed smooth- ness in Lq（Rd） is studied for 1

关键词： Sobolev-Wiener classes with mixed smoothness Average σ-K width Step hyperbolic crosses

ON THE SYMPLECTIC REDUCTIONS

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Chinese Annals of mathematics,Series B 2002年第3期23卷 425-434页

作者： HE LONGGUANG ZHONG DESHOU LIU BAOKANG: department of mathematics, capital normal university, beijing 100037, China. department of mathematics Capital Normal University Beijing 100037 China

A symplectic reduction method for symplectic G-spaces is given in this paper without using the existence of momentum mappings. By a method similar to the above one, the arthors give a symplectic reduction method for the Poisson action of Poisson Lie groups on symplectic manifolds, also without using the existence of momentum mappings. The symplectic reduction method for momentum mappings is thus a special case of the above results.

关键词： Symplectic reduction Symplectic action Poisson action Momentum mapping Stable subgroup

Existence and Multiplicity of Periodic Solutions of the Second-Order Differential Equations with Jumping Nonlinearities

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Acta Mathematica Sinica,English Series 2002年第3期18卷 615-624页

作者： Zai Hong wang department of mathematics, capital normal university.{4.. P. R. China department of mathematics Capital Normal University Beijing P. R. China

We provide sufficient conditions for the existence and multiplicity of periodic solutions for Duffing's equations with jumping nonlinearities under resonance conditions.

关键词： Periodic solution Jumping nonlinearities Spectrum curve Time map

A Besov Estimate for Multilinear Singular Integrals

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Acta Mathematica Sinica,English Series 2000年第4期16卷 613-626页

作者： Wengu Chen department of mathematics, capital normal university. beijing 100037. P. R. China department of mathematics Capital Normal University Beijing 100037 P. R. China

The main pnrpose of this paper is to prove a good λ inequality for a multilinear singular integral in R^n.

关键词： Multilinear operator Besov space Good λ inequality