杂志简介:《数学学报》杂志经新闻出版总署批准,自1936年创刊,国内刊号为11-2038/O1,是一本综合性较强的科学期刊。该刊是一份双月刊,致力于发表科学领域的高质量原创研究成果、综述及快报。主要栏目:研究报告、文献综述、简报、专题研究
作者:Anuradha; GUPTA; Bhawna; GUPTA 刊期:2019年第11期
In this paper,we generalize the concept of asymptotic Hankel operators on H2(D)to the Hardy space H2(Dn)(over polydisk)in terms of asymptotic Hankel and partial asymptotic Hankel operators and investigate some properties in case of its weak and strong convergence.Meanwhile,we introduce ith-partial Hankel operators on...
作者:Hai; Xia; YU; Jun; Feng; LI 刊期:2019年第11期
In this paper,the weak(1,1)boundedness of oscillatory singular integral with variable phase P(x)γ(y)for any x,y∈R,Tf(x):=p.v.∫∞-∞eiP(x)γ(y)f(x?y)dy/y is studied,where P is a real monic polynomial on R.
作者:Xu; ZHANG; Xin; Xing; WU 刊期:2019年第11期
This paper studies the M0-shadowing property for the dynamics of diffeomorphisms defined on closed manifolds. The C1 interior of the set of all two dimensional diffeomorphisms with the M0-shadowing property is described by the set of all Anosov diffeomorphisms. The C1-stably M0-shadowing property on a non-trivial tra...
作者:Li; ZHANG; Wan; Tong; LI; Zhi; Cheng; WANG; Yu; Juan; SUN 刊期:2019年第11期
This paper mainly focuses on the entire solutions of a nonlocal dispersal equation with asymmetric kernel and bistable nonlinearity. Compared with symmetric case, the asymmetry of the dispersal kernel function makes more diverse types of entire solutions since it can affect the sign of the wave speeds and the symmetr...
作者:Liang; TIAN; Wei; GUO; Kui; JI 刊期:2019年第11期
In this note, we study a rich operator class denoted by PB_n(Ω) which includes all homogeneous operators and quasi-homogeneous operators in the Cowen–Douglas class. A complete unitarily classification theorem is given. Furthermore, we also concern the curvature and similarity of operators in PB_n(Ω).
作者:Qing; MENG; Li; Guang; WANG 刊期:2019年第11期
We study property T for an action α of a discrete group Γ on a unital C~*-algebra A. Our main results improve some well-known results about property T for groups. Moreover, we introduce Hilbert A-module property T and show that the action α has property T if and only if the reduced crossed product ■has Hilbert A-mod...
作者:Tao; WANG; Ming; Ju; LIU; De; Ming; LI 刊期:2019年第11期
Let G be a graph with vertex set V(G),edge set E(G)and maximum degreeΔrespectively.G is called degree-magic if it admits a labelling of the edges by integers{1,2,...,|E(G)|}such that for any vertex v the sum of the labels of the edges incident with v is equal to1+|E(G)|/2·d(v),where d(v)is the degree of v.Let f be a ...
作者:Xun; Xiang; GUO 刊期:2019年第11期
In this paper, we give an operator parameterization for the set of dilations of a given pair of dual g-frames and the set of dilations of pairs of dual g-frames of a given g-frame. In particular,for the dilations of a given pair of dual g-frames, we introduce the concept of joint complementary g-frames and prove that...
作者:Jiao; CHEN; Liang; HUANG 刊期:2019年第11期
作者:Zhan; Qiang; BAI; Wei; XIAO 刊期:2019年第11期
The Gelfand–Kirillov dimension is an invariant which can measure the size of infinitedimensional algebraic structures. In this article, we show that it can also measure the reducibility of scalar generalized Verma modules. In particular, we use it to determine the reducibility of scalar generalized Verma modules ass...
刊期:2019年第11期
Submission Authors must use LaTeX for typewriting,and visit our website www.actamath.com to submit your paper.Our address is Editorial Office of Acta Mathematica Sinica,Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100190,PR R.China.All papers will be refereed.If necessary,the author(...