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Generalized effective medium resistivity model for low resistivity reservoir

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Science China Earth Sciences 2008年第8期51卷 1194-1208页

作者： YanJie Song xiaomin tang School of Earth Sciences Daqing Petroleum Institute Daqing 163318 China

With the advancement in oil exploration, producible oil and gas are being found in low resistivity reservoirs, which may otherwise be erroneously thought as water zones from their resistivity. However, the evaluation ... 详细信息

关键词： low resistivity reservoir symmetrical anisotropic effective medium conductance theory microscopic capillary pores dispersed clay laminated shale conductive matrix grain generalized resistivity model

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

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.

Quantization of a Class of Super W-Agebras

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Algebra Colloquium 2022年第4期29卷 633-642页

作者： Yu Zhang xiaomin tang School of Mathematical Science Heilongjiang University Harbin 150080China

We study a class of super W-algebras whose even part is the Virasoro type Lie algebra W(2,2).We quantize the Lie superbialgebra of the super W-algebra by the Drinfeld twist quantization technique and obtain a class of... 详细信息

关键词： quantization super W-algebra quantum group Lie superbialgebra

WEIGHTED COMPOSITION OPERATORS BETWEEN BERS-TYPE SPACES AND BERGMAN SPACES

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Applied Mathematics(A Journal of Chinese Universities) 2007年第1期22卷 61-68页

作者： tang xiaomin Department of Mathematics Huzhou Teachers College Huzhou 313000 China.

This paper characterizes the boundedness and compactness of weighted composition operators between Bers-type space （or little Bers-type space） and Bergman space. Some estimates for the norm of weighted composition o... 详细信息

关键词： weighted composition operator Bers-type spacer Bergman space.

Schwarz Lemma at the Boundary on the Classical Domain of Type Ⅲ

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Chinese Annals of Mathematics,Series B 2020年第3期41卷 335-360页

作者： Taishun LIU xiaomin tang Wenjun ZHANG Department of Mathematics Huzhou UniversityHuzhou 313000ZhejiangChina Department of Mathematics Shenzhen UniversityShenzhen 518060GuangdongChina

Let R_Ⅲ(n) be the classical domain of type Ⅲ with n≥2. This article is devoted to a deep study of the Schwarz lemma on R_Ⅲ(n) via not only exploring the smooth boundary points of R_Ⅲ(n) but also proving the Schwa... 详细信息

关键词： Holomorphic mapping Schwarz lemma at the boundary The classical domain of typeⅢ

Super-biderivations of not-finitely graded Lie superalgebras related to generalized super-Virasoro algebras

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Frontiers of Mathematics in China 2020年第6期15卷 1295-1306页

作者： Zhuo ZHANG Jixia YUAN xiaomin tang School of Mathematical Sciences Heilongjiang UniversityHarbin 150080China

We mainly study the super-biderivations of not-finitely graded Lie superalgebras related to generalized super-Virasoro *** particular,we prove that all super-biderivations of not-finitely graded Lie superalgebras rela... 详细信息

关键词： Lie superalgebra super-Virasoro algebras super-biderivation inner super-biderivations

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

Lie bialgebra structures on derivation Lie algebra over quantum tori

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Frontiers of Mathematics in China 2017年第4期12卷 949-965页

作者： xiaomin tang Lijuan LIU Jinli XU Department of Mathematics Heilongjiang University Harbin 150080 China Harbin Institute of Technology Press Harbin 150001 China Department of Mathematics Northeast Forestry University Harbin 150040 China

We investigate Lie bialgebra structures on the derivation Lie algebra over the quantum torus. It is proved that, for the derivation Lie algebra W over a rank 2 quantum torus, all Lie bialgebra structures on W are the coboundary triangular Lie bialgebras. As a by-product, it is also proved that the first eohomology group H1 （W, W × W） is trivial,

关键词： Lie bialgebra Yang-Baxter equation derivation Lie algebra over quantum tori