本刊英文版Vol.20(2004),No.5论文摘要(英文)

<正> A Property of g-ExpectationLong JIANGAbstract This paper proves that,under the hypothesis g(t,0,0)≡0 and some naturalassumptions,the generator g of a backward stochastic differential equation can be uniquelydetermined by the corresponding g-expectations with all terminal conditions.The main resultof this paper also confirms and extends Peng Shige's conjecture.     

本刊英文版Vol.20(2004),No.4论文摘要(英文)

Laeunary Measures and Self-similar Probability Measures in Funetion SPaees Hans TRIEBELAbstraet The paPer deals with multifraetal quantities for some tyPes of Radon measuresespeeially sel仁similar Probability measures,and their relations to Besov spaees. …     

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.20(2004),No.2论文摘要

<正> Some Arithmetic on tlie Hardy Sums s_2(h, k) and s_3(h, k) Mümün CANAbstract In this work, Rademacher's two questions about Dedekind sums are applied tothe Hardy sums s_2(h, k) and s_3(h, k). Some relations between these sums are obtained and someinequalities are given.     

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.28(2012),No.1论文摘要(英文)

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本刊英文版Vol.27(2011),No.1论文摘要(英文)

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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.30(2014),No.1论文摘要

<正>Analysis on a Superlinearly Convergent Augmented Lagrangian Method Ya Xiang YUAN Abstract The augmented Lagrangian method is a classical method for solving constrained optimization.Recently,the augmented Lagrangian method attracts much attention due to its applications to sparse optimization in compressive sensing and low rank matrix optimization problems.However,most Lagrangian methods use first order information to update the Lagrange multipliers,which lead to only linear convergence.In this paper,we study an update technique     

本刊英文版Vol.30(2014),No.8论文摘要(英文)

<正>Weighted Estimates for Multilinear Pseudodifferential Operators Kang Wei LI;;Wen Chang SUN Abstract In this paper,we study the weighted estimates for multilinear pseudodifferential operators.We show that a multilinear pseudodifferential operator is bounded with respect to multiple weights whenever its symbol satisfies some smoothness and decay conditions.Our result generalizes similar ones from the classical A_p weights to multiple weights.Trigonometric Series With a Generalized Monotonicity Condition     

本刊英文版Vol.37(2021),No.1论文摘要

Derivatives of Frobenius and Derivatives of Hodge-Tate Weights Bing Yong XIE Abstract In this paper study the derivatives of Frobenius and the derivatives of Hodge-Tate weights for families of Galois representations with triangulations.     

本刊英文版Vol.36(2020),No.3论文摘要

Exceptional Cycles in the Bounded Derived Categories of Quivers Peng GUO Pu ZHANG Abstract An exceptional n-cycle in a Hom-finite triangulated category with Serre functor has been recently introduced by Broomhead,Pauksztello and Ploog.When n=1,it is a spherical object.We explicitly determine all the exceptional cycles in the bounded derived category D^b(kQ) of a finite quiver Q without oriented cycles.In particular,if Q is an Euclidean.