本刊英文版Vol.29(2013),No.5论文摘要

<正>A New Class of Generalized Close-to-Starlike Functions Defined by the Srivastava-Attiya Operator H.M.SRIVASTAVA Dorina RADUCANU Grigore S.SALAGEAN Abstract In this paper,we consider a new class CS_(s,b)^* of generalized close-to-starlike functions, which is defined by means of the Srivastava-Attiya operator J_(s,b) involving the Hurwitz-Lerch Zeta functionΦ(z,s,a).Basic results such as inclusion relations,coefficient inequalities and other interesting properties of this class are investigated.Relevant connections of some of     

本刊英文版Vol.29(2013),No.3论文摘要

<正>The Discrete Subgroups and Jφrgensen's Inequality for SL(m,C_p) Wei Yuan QIUJing Hua YANGYong Cheng YIN Abstract In this paper,we give discreteness criteria of subgroups of the special linear group on Q_p or C_p in two and higher dimensions.Jφrgensen's inequality gives a necessary condition for a non-elementary group of Mbius transformations to be discrete.We give a version     

本刊英文版Vol.29(2013),No.9&10论文摘要

<正>An Equivalent Condition for the Self Similar Sets on the Real Line to Have Best Coverings Jian Dong YIN Zuo Ling ZHOU Abstract In this paper,an equivalent condition for the self similar sets on the real line to     

本刊英文版Vol.29(2013),No.7论文摘要(英文)

<正>Rough Marcinkiewicz Integrals with Mixed Homogeneity on Product Spaces Feng LIU Huo Xiong WU Abstract In this paper,the parabolic Marcinkiewicz integral operators on the product spaces R^m×Rm×Rⁿ(m,n≥2)are studied.The Ln(m,n≥2)are studied.The L^p-boundedness for such operators are established under rather weak size conditions of the kernels,which essentially improve or extend certain previous results.     

本刊英文版Vol.29(2013),No.8论文摘要(英文)

<正>L(j,k)-number of Direct Product of Path and Cycle Wai Chee SHIU Qiong WU Abstract For positive numbers j and k,an L(j,k)-labeling f of G is an assignment of numbers to vertices of G such that |f(u)-f(v)|≥j if uv∈E(G),and |f(u)-f(v)|≥k if d(u,v)=2.Then the span of f is the difference between the maximum and the minimum numbers assigned by f.The L(j,k)-number of G,denoted byλ_(j,k)(G),is the minimum span over     

本刊英文版Vol.29(2013),No.12论文摘要(英文)

<正>On Strong Kadison-Singer Algebras Ai Ju DONG Dong WANG Abstract We show that many Kadison-Singer algebras are maximal triangular in all algebras containing them although their definition requires the maximality taken in the class of reflexive algebras.Diagonal-trivial maximal non self-adjoint subalgebras of matrix algebras with lower dimensions are classified.     

本刊英文版Vol.29(2013),No.11论文摘要(英文)

<正>Vitali Type Convergence Theorems for Banach Space Valued Integrals Marek BALCERZAK Kazimierz MUSIAL Abstract Let(Ω,∑,μ)be a complete probability space and let X be a Banach space.We introduce the notion of scalar equi-convergence in measure which being applied to sequences of Pettis integrable functions generates a new convergence theorem.We also obtain a Vitali type I-convergence theorem for Pettis integrals where I is an ideal on N.On Universally Left-stability ofε-Isometry     

本刊英文版Vol.27(2011),No.6论文摘要

<正>New Algebraic Approaches to Classical Boundary Layer Problems Xiao Ping XU Abstract Classical non-steady boundary layer equations are fundamental nonlinear partial differential equations in the boundary layer theory of fluid dynamics.In this paper,we introduce various schemes with multiple parameter functions to solve these equations and obtain many families of new explicit exact solutions with multiple parameter functions.Moreover,symmetry transformations are used to simplify our arguments.The technique of moving frame is applied in the three-dimensional case in order to capture the rotational properties of the fluid.In     

本刊英文版Vol.28(2012),No.6论文摘要

<正>Further Bounds for Hardy Type Differences Kristina KRULIC Josip PECARIC Dora POKAZ Abstract In this paper we define a functional as a difference between the right—hand side and left—hand side of the refined Boas type inequality using the notation of superquadratic and subquadratic functions and study its properties,such as exponential and logarithmic convexity. We also,state and prove improvements and reverses of new weighted Boas type inequalities.As     

本刊英文版Vol.20(2004),No.6论文摘要

<正>An Isometric Embedding of Mobius Band with Positive Gaussian CurvatureHui Xia HE Zi Zhou TANGAbstract The main purpose of this paper is to show that there is an isometric embedding from Mobius band to R4 with positive Gaussian curvature.     

本刊英文版Vol.22(2006),No．6论文摘要

<正>A Weierstrass Representation Formula for Minimal Surfaces in HS and H2×R Francesco MERCURI Stefano MONTALDO Paola PIU We give a general setting for constructing a Weierstrass representation formula for simply connected minimal surfaces in a Riemannian manifold. Then, we construct examples of minimal surfaces in the three dimensional Heisenberg group and in the product of the hyperbolic plane with the real line.     

本刊英文版Vol.21(2005),No.1论文摘要

<正>An Equivariant Version of the K-energy Gang TIAN Abstract In this note, we present a connection between equivariant Bott-Chern classes and Kahler-Ricci solitons. We also propose a generalized version the of the K-energy. A Class Of Counterexamples Concerning an Open Problem Pei Xin CHEN Shi Jie LU Abstract Kenneth R. Davidson raised ten open problems in the book Nest Algebras. One of these open problems is Problem 7 If K, (∩) Alg(?) is weak dense in Alg(?), where k is the set of all compact operators     

本刊英文版Vol.27(2011),No.8论文摘要

<正>Schrdinger Soliton from Lorentzian Manifolds Chong SONG You De WANG Abstract In this paper,we introduce a new notion named as Schrdinger soliton.The socalled Schrdinger solitons are a class of solitary wave solutions to the Schrdinger flow equation from a Riemannian manifold or a Lorentzian manifold M into a Khler manifold N.If the target manifold N admits a Killing potential,then the Schrdinger soliton reduces to a harmonic     

本刊英文版Vol.25(2009),No.11论文摘要

<正>On Integrable Roots in Split Lie Triple Systems A.J.CALDERON MARTIN We focus on the notion of an integrable root in the framework of split Lie triple systems T with a coherent 0-root space.As a main result,it is shown that if T has all its nonzero roots integrable,then its standard embedding is a split Lie algebra having all its nonzero roots     

本刊英文版Vol.28(2012),No.11论文摘要

<正>Generalized Maupertuis' Principle with Applications Wei CHENG Abstract We give a rigorous proof of the equivalence of Mane's supercritical potential and the minimal action with respect to an associated Jacobi-Finsler metric.As a consequence, we give an explicit representation of the weak KAM solutions of one-dimensional mechanical systems without the quadratic assumption on the kinetic energy term of the Hamiltonians,and a criterion of the integrability result for such a system of arbitrary degree of freedom by the regularity assumption on Mather'sα-function is discussed.     

本刊英文版Vol.20(2004),No.3论文摘要

<正> Viscous Approximations and Decay Rate of Maximal Vorticity Function for 3-D Axisymmetric Euler Equations Quan Sen JIU Zhou Ping XINAbstract In this paper, we are first concerned with viscous approximations for the three-dimensional axisymmetric incompressible Euler equations. It is proved that the viscous approxi-mations, which are the solutions of the corresponding Navier-Stokes equations, converge stronglyin L~2([0, T]; L_(loc)~2 (R~3)) provided that they have strong convergence in the region away from thesymmetry axis. This result has been proved by the authors for the approximate solutions gen-     

本刊英文版Vol.27(2011),No.11论文摘要

<正>For a bipartite graph G on m and n vertices,respectively,in its vertices classes, and for integers s and t such that 2≤s≤t,0≤m-s≤n-t,and m+n≤2s+t-1,we prove that if G has at least mn -(2(m - s) + n - t) edges then it contains a subdivision of the complete bipartite K_((s,t)) with s vertices in the m-class and t vertices in the n-class.Furthermore, we characterize the corresponding extremal bipartite graphs with mn -(2(m - s) + n - t + 1) edges for this topological Turan type problem.     

本刊英文版Vol.28(2012),No.5论文摘要

<正>On Tame Operators betWeen Non-Archimedean PoWer Series Spaces Wiestaw SLIWA Agnieszka ZIEMKOWSKA Abstract Let P∈{1,∞).We show that any continuous linear operator T from A1(a)to Ap(b)is tame,i.e.,there exists a positive integer C such that supx‖Tx‖k/|x|ck〈∞for every k∈N.Next we prove that a similar result holds for operators from A∞(a)to Ap(b)if and only if the set M_(b,a) of all finite limit points of the double sequence(bi/aj)i,jeN is bounded.Finally we show that the range of every tame operator from A∞(a)to Ao∞(b)has a Schauder basis.     

本刊英文版Vol.31(2015),No.7论文摘要

<正>Differential Equations and Singular Vectors in Verma Modules over sl(n,C)Wei XIAO Abstract Xu introduced a system of partial differential equations to investigate singular vectors in the Verma module of highest weightλover s[(n,C).He gave a differential-operator