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The Gleason's problem for some polyharmonic and hyperbolic harmonic function spaces

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Science China Mathematics 2006年第8期49卷 1128-1145页

作者： HU Zhangjian TANG Xiaomin Department of Mathematics Huzhou Teachers College Huzhou 313000 China Department of Mathematics Huzhou Teachers College Huzhou 313000 China

Let Ω(∈) Rn be a bounded convex domain with C2 boundary. For 0 ＜ p,q ≤∞ and a normal weight ψ, the mixed norm space Hp,q,ψk,(Ω) consists of all polyharmonic functions f of order k for which the mixed norm ||·||p,q,ψ＜∞.In this paper, we prove that the Gleason's problem (Ω,a,Hp,q,ψk) is always solvable for any reference point a ∈Ω. Also, the Gleason's problem for the polyharmonic ψ-Bloch (little ψ-Bloch) space is solvable. The parallel results for the hyperbolic harmonic mixed norm space are obtained.

关键词： Gleason's problem, mixed norm space, Bloch-type space.

A CLASS OF NONLINEAR SINGULARLY PERTURBED PROBLEMS FOR REACTION DIFFUSION EQUATIONS

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Acta Mathematica Scientia 2003年第3期23卷 377-385页

作者：莫嘉琪 huzhou teachers'college Huzhou 313000China

A class of nonlinear singularly perturbed problems for reaction diffusion equations are considered. Under suitable conditions, by using the theory of differential inequalities, the asymptotic behavior of solutions for... 详细信息

关键词： Nonlinear reaction diffusion equation singular perturbation

Composition operators between Bloch-type spaces in the polydisc

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Science China Mathematics 2005年第Z1期48卷 268-282页

作者： HU Zhangjian huzhou teachers college Huzhou313000China

We characterize those holomorphic mappings (?) from the polydisc Dn in Cn to itself for which the induced composition operators C(?) are bounded (or compact) from the Bloch-type space Bω to Bμ (respectively, from the little Bloch-type space Bω,0 to Bμ,0), where ω is a normal function on [0,1) and μ is a nonnegative function on [0,1) with μ(tn) > 0 for some sequence {tn}n=1∞(?)[0,1) satisfying limn→∞ tn = 1.

关键词： Bloch-type space, composition operator, boundedness, compactness.

Structure of high spin state in proton-rich ^(74,76,78)Kr isotopes:A projected shell model description

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Science China(Physics,Mechanics & Astronomy) 2015年第1期58卷 32-37页

作者： LIU YanXin YU ShaoYing SHEN CaiWan School of Science Huzhou Teachers College

The N≈Z nuclei in the mass A^80 region has been researched because of an abundance of nuclear structure *** projected shell model(PSM)was adopted to investigate the structure of high spin state in proton-rich 74,76,78Kr isotopes including yrast spectra,moment of inertia,electric quadrupole transitions and the behavior of single *** calculated results are in good agreement with available data and the shape coexistence in low-spin is also discussed.

关键词： projected shell model high spin state moment of inertia electric quadrupole transition

Ordering Graphs with Cut Edges by Their Spectral Radii

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Acta Mathematicae Applicatae Sinica 2012年第1期28卷 193-200页

作者： Kun-fu FANG Faculty of Science Huzhou Teachers CollegeHuzhou 313000China

Let gnk denote a set of graphs with n vertices and k cut edges. In this paper, we obtain an order of the first four graphs in gnk in terms of their spectral radii for 6 ≤ k ≤ n-2/3.

关键词： spectral radius cut edge ordering eigenvalue

EXTENDED CESRO OPERATORS ON THE BLOCH SPACE IN THE UNIT BALL OF C^n

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Acta Mathematica Scientia 2003年第4期23卷 561-566页

作者：胡璋剑 Department of Mathematics Huzhou Teachers College Huzhou 313000 China

The paper defines an extended Cesaro operator Tg with holomorphic symbol g in the unit ball B of Cn asWhere is the radial derivative of g. In this paper, the author characterizes g for which Tg is bounded (or compact)... 详细信息

关键词： the Bloch space extended Cesaro operator boundedness

A boundary Schwarz lemma on the classical domain of type I

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Science China Mathematics 2017年第7期60卷 1239-1258页

作者： LIU TaiShun TANG XiaoMin Department of Mathematics Huzhou Teachers College Huzhou 313000 China

Let R_I(m,n) be the classical domain of type I in C^(m×n)with 1≤m≤*** obtain the optimal estimates of the eigenvalues of the Fréchet derivative Df(Z) at a smooth boundary fixed point Z of R_I(m,n)for a holomorphic self-mapping f of R_L(m,n).We provide a necessary and sufficient condition such that the boundary points of R_I(m,n) are smooth,and give some properties of the smooth boundary points of R_L(m,n).Our results extend the classical Schwarz lemma at the boundary of the unit disk △ to R_I(m,n),which may be applied to get some optimal estimates in several complex variables.

关键词： holomorphic mapping Schwarz lemma at the boundary the classical domain of type I

QUASILINEAR-ADDITIVE PROPERTIES AND APPLICATIONS

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Acta Mathematica Scientia 2010年第3期30卷 726-732页

作者：张孝惠王根娣褚玉明 Department of Mathematics Huzhou Teachers College

In this article, the authors study some basic properties of the so-called quasilinear- additive functions, and some applications to the special functions of quasiconformal analysis are specified.

关键词： Quasilinear-additive generalized Grotzsch function quasiconformal

Schwarz lemma at the boundary of the unit polydisk in C^n

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Science China Mathematics 2015年第8期58卷 1639-1652页

作者： TANG XiaoMin LIU TaiShun LU Jin Department of Mathematics Huzhou Teachers College

We establish a new type of the classical boundary Schwarz lemma for holomorphic self-mappings of the unit polydisk Dnin Cn. By using the Carath′eodory metric and Kobayashi metric of Dn, we obtain some properties of the complex Jacobian matrix Jf(p) at a boundary point p of Dnfor a holomorphic self-mapping f of Dn. Our results extend the classical Schwarz lemma at the boundary to high dimensions.

关键词： holomorphic mapping Schwarz lemma at the boundary unit polydisk