中国科学院数学与系统科学研究院期刊网

15 June 2009, Volume 25 Issue 6
    

  • Select all
    |
    Articles
  • A.BALLESTER-BOLINCHES, Luis M.EZQUERRO, Alexander N.SKIBA
    Acta Mathematica Sinica. 2009, 25(6): 869-882. https://doi.org/10.1007/s10114-009-8623-4
    Abstract ( ) Download PDF ( )   Knowledge map   Save
    In this paper we study the influence of the partial cover and avoidance property on the subgroups of some relevant families of subgroups in a finite group.
  • Mieczyslaw MASTYLO, Pawel MLECZKO
    Acta Mathematica Sinica. 2009, 25(6): 883-902. https://doi.org/10.1007/s10114-009-7407-1
    Abstract ( ) Download PDF ( )   Knowledge map   Save
    We study summing multipliers from Banach spaces of analytic functions on the unit disc of the complex plane to the complex Banach sequence lattices.The domain spaces are abstract variants of the classical Hardy spaces generated by the complex symmetric spaces.Applying interpolation methods,we prove the Hausdor?–Young and Hardy–Littlewood type theorems.We show applications of these results to study summing multipliers from the Hardy–Orlicz spaces to the Orlicz sequence lattices.The obtained results extend the well-known results for the Hp spaces.
  • Gyorgy GAT, Ushangi GOGINAVA
    Acta Mathematica Sinica. 2009, 25(6): 903-916. https://doi.org/10.1007/s10114-009-7013-2
    Abstract ( ) Download PDF ( )   Knowledge map   Save
    It is well known in the literature that the logarithmic means of Walsh or trigonometric Fourier series converge a.e.to the function for each integrable function on the unit interval.This is not the case if we take the partial sums.In this paper we prove that the behavior of the so-called Norlund logarithmic means is closer to the properties of partial sums in this point of view.
  • Amir MAFI
    Acta Mathematica Sinica. 2009, 25(6): 917-922. https://doi.org/10.1007/s10114-009-7418-y
    Abstract ( ) Download PDF ( )   Knowledge map   Save
    Let a be an ideal of a commutative Noetherian ring R and M be a finitely generated R-module of dimension d.We characterize Cohen–Macaulay rings in term of a special homological dimension.Lastly,we prove that if R is a complete local ring,then the Matlis dual of top local cohomology module Hda (M)is a Cohen–Macaulay R-module provided that the R-module M satisfies some conditions.
  • You Qing JI, Sen ZHU
    Acta Mathematica Sinica. 2009, 25(6): 923-930. https://doi.org/10.1007/s10114-009-7478-z
    Abstract ( ) Download PDF ( )   Knowledge map   Save
    Two operators A,B∈B(H)are said to be strongly approximatively similar,denoted by A~sas B,if(i)givenε>0,there exist Ki∈B(H)compact with Ki<ε(i=1,2)such that A+K1 and B+K2 are similar;(ii)σ0(A)=σ0(B)and dim H(λ;A)=dim H(λ;B)for eachλ∈σ0(A).In this paper,we prove the following result. Let S,T∈B(H)be quasitriangular satisfying:(i)σ(T)=σ(S)=σw(S)is connected and σe(S)=σlre(S);(ii)ρs-F(S)∩σ(S)consists of at most finite components and each componentΩ satisfies thatΩ=intΩ,where intΩis the interior ofΩ.Then,S~sas T if and only if S and T are essentially similar.
  • Bo CHEN, Ping Zhi YUAN
    Acta Mathematica Sinica. 2009, 25(6): 931-944. https://doi.org/10.1007/s10114-009-7080-4
    Abstract ( ) Download PDF ( )   Knowledge map   Save
    Hecke groups are an important tool in investigating functional equations,and congruence subgroups of Hecke groups play an important rule in research of the solutions of the Dirichlet series. When q,m are two primes,congruence subgroups and the principal congruence subgroups of level m of the Hecke group H(√q )have been investigated in many papers.In this paper,we generalize these results to the case where q is a positive integer with q≥5,√q ∈Z and m is a power of an odd prime.
  • De Yu ZHANG
    Acta Mathematica Sinica. 2009, 25(6): 945-960. https://doi.org/10.1007/s10114-009-7176-x
    Abstract ( ) Download PDF ( )   Knowledge map   Save
    In this paper we prove zero-density estimates of the large sieve type for the automorphic L-function L(s,f?χ),where f is a holomorphic cusp form andχ(mod q)is a primitive character.
  • Yu Jun ZHU
    Acta Mathematica Sinica. 2009, 25(6): 961-970. https://doi.org/10.1007/s10114-009-7206-8
    Abstract ( ) Download PDF ( )   Knowledge map   Save
    In this paper,Brin–Katok local entropy formula and Katok’s definition of the measure- theoretic entropy using spanning set are established for the random dynamical system over an invertible ergodic system.
  • Wen Ting ZHANG, Yan Feng LUO
    Acta Mathematica Sinica. 2009, 25(6): 971-982. https://doi.org/10.1007/s10114-009-7281-x
    Abstract ( ) Download PDF ( )   Knowledge map   Save
    The join AB of two semigroup varieties A and B is investigated.The lattice of subvarieties of AB is completely described.It is shown that this lattice is finite and non-modular and that all varieties in it are finitely based and finitely generated.
  • Yan Ping CHEN
    Acta Mathematica Sinica. 2009, 25(6): 983-1000. https://doi.org/10.1007/s10114-009-7681-y
    Abstract ( ) Download PDF ( )   Knowledge map   Save
    In this paper the author proves that the commutator of the Marcinkiewicz integral operator with rough variable kernel is bounded from the homogeneous Sobolev space L2γ(Rn)to the Lebesgue space L2(Rn),which is a substantial improvement and extension of some known results.
  • De Shou ZHONG, Zhuo CHEN, Zhang Ju LIU
    Acta Mathematica Sinica. 2009, 25(6): 1001-1014. https://doi.org/10.1007/s10114-009-6242-8
    Abstract ( ) Download PDF ( )   Knowledge map   Save
    We show that every source connected Lie groupoid always has global bisections through any given point.This bisection can be chosen to be the multiplication of some exponentials as close as possible to a prescribed curve.The existence of bisections through more than one prescribed point is also discussed.We give some interesting applications of these results.
  • Jia Feng LV
    Acta Mathematica Sinica. 2009, 25(6): 1015-1030. https://doi.org/10.1007/s10114-009-6554-8
    Abstract ( ) Download PDF ( )   Knowledge map   Save
    The so-called weakly d-Koszul-type module is introduced and it turns out that each weakly d-Koszul-type module contains a d-Koszul-type submodule.It is proved that,M∈W K Td(A)if and only if M admits a filtration of submodules:0⊂U0⊂U1⊂···⊂Up=M such that all Ui/Ui-1 are d-Koszul-type modules,from which we obtain that the finitistic dimension conjecture holds in W K T d(A)in a special case.Let M∈W K Td(A).It is proved that the Koszul dual E(M)is Noetherian,Hopfian,of finite dimension in special cases,and E(M)∈gr 0 (E(A)).In particular,we show that M∈W K Td(A)if and only if E(G(M))∈gr 0 (E(A)),where G is the associated graded functor.
  • Jie FANG
    Acta Mathematica Sinica. 2009, 25(6): 1031-1040. https://doi.org/10.1007/s10114-009-6660-7
    Abstract ( ) Download PDF ( )   Knowledge map   Save
    The variety bpO consists of those algebras(L;∧,∨,f,*)of type 2,2,1,1,0,0 where (L;∧,∨,f,0,1)is an Ockham algebra,(L;∧,∨,*,0,1)is a p-algebra,and the operations x→f(x)and x→x*satisfy the identities f(x*)=x**and[f(x)]*=f2(x).In this note,we show that the compact congruences on a bpO-algebra form a dual Stone lattice.Using this,we characterize the algebras in which every principal congruence is complemented.We also give a description of congruence coherent bpO-algebras.