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Φ-INEQUALITIES AND LAWS OF LARGE NUMBERS OF HARDY MARTINGALETRANSFORMS

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Acta math.matica Scientia 1997年第3期17卷 269-275页

作者：刘培德吐尔德别克 dept. of math. Wuhan University Wuhan 430071 China dept. of math. Xinjiang University Ulumuqi 830046 China

Using stopping time method we proved the Φ-inequalities, pointwise convergence, strong and weak laws of large numbers of Hardy martingale transforms with values in complex Banach spaces, and applying them to give sev... 详细信息

关键词： AUMD space Hardy martingale martinale transform geometry of complex Banach space

Multilinear singular and fractional integrals on weighted Hardy spaces

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Applied math.matics(A Journal of Chinese Universities) 2009年第2期24卷 214-220页

作者： ZHANG Pu LAN Jia-cheng dept. of math. Mudanjiang Teachers College Mudanjiang 157012 China dept. of math. Lishui College Lishui 323000 China

In this paper the boundedness properties of multilinear singular and fractional integrals on the weighted Hardy spaces are studied.

关键词： multilinear singular integral multilinear fractional integral Lipschitz function L^r-Dini condition weighted Hardy space

INITIAL BOUNDARY VALUE PROBLEMS FOR A CLASS OF NONLINEAR INTEGRO－PARTIAL DIFFERENTIAL EQUATIONS

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Applied math.matics and Mechanics(English Edition) 1994年第4期15卷 389-404页

作者：崔尚斌屈长征 dept. of math. Lanzhou Univ. Lanzhou dept. of math. Northwest Univ. Xi'an

This paper studies the global existence of the classical solutions to the following problem:This problem describes the nonlinear vibrations of finite rods with nonlinear vis-coelasticity. Under certain conditions on ... 详细信息

关键词： integro-partial differential equation initial value problem global classical solution

Pointwise characterization for combinations of Szász-Mirakjan operators

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Applied math.matics(A Journal of Chinese Universities) 2008年第2期23卷 202-212页

作者： XIE Lin-sen SHI Zhong-rui dept. of math. Shanghai Univ. Shanghai 200444 China dept. of math. Lishui Univ. Lishui 323000 China

The purpose of this paper is to characterize the pointwise rate of convergence for the combinations of Szász-Mirakjan operators using Ditzian-Totik modulus of smoothness.

关键词： Szász-Mirakjan operator combination pointwise approximation.

EXPONENTIAL DICHOTOMIES,HOMOCLINIC ORBITS AND METHODS OF MELNIKOV

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Acta math.matica Scientia 1996年第1期16卷 113-120页

作者：曾唯尧钱祥征王志成 dept. of math. Hunan Light Industrial College Changsha 410007 China dept. of math. Hunan University Changsha 410082 China

In this paper we construct, by using the theory of exponential dichotomies, a Melnikov-type function by which we can detect the existence of homoclinic orbits for the perturbed systems x = g(x) + epsilon h(t, x, epsil... 详细信息

关键词： exponential dichotomies homoclinic orbits Melnikov functions

Two algorithms for two-phase Stefan type problems

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Applied math.matics(A Journal of Chinese Universities) 2009年第3期24卷 298-308页

作者： LIAN Xiao-peng CHENG Xiao-liang HAN Wei-min dept. of math. Zhejiang Univ. Hangzhou 310027 China dept. of math. University of Iowa Iowa City IA 52242 USA

In this paper,the relaxation algorithm and two Uzawa type algorithms for solving discretized variational inequalities arising from the two-phase Stefan type problem are *** analysis of their convergence is presented and the upper bounds of the convergence rates are *** numerical experiments are shown to demonstrate that for the second Uzawa algorithm which is an improved version of the first Uzawa algorithm,the convergence rate is uniformly bounded away from 1 if τh^-2 is kept bounded,where τ is the time step size and h the space mesh size.

关键词： relaxation method Uzawa algorithm variational inequality two-phase Stefan type problem

Periodic boundary value problem for the first order functional differential equations with impulses

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Applied math.matics(A Journal of Chinese Universities) 2009年第1期24卷 27-35页

作者： LIANG Rui-xi SHEN Jian-hua dept. of math. Hunan Normal Univ. Hunan 410081 China dept. of math. Huaihua College Hunan 418008 China

This paper is concerned with the existence and approximation of solutions for a class of first order impulsive functional differential equations with periodic boundary value conditions. A new comparison result is pres... 详细信息

关键词： functional differential equation periodic boundary value problem lower and upper solution monotone iterative method

LOCAL HARDY SPACES ON HEISENBERG GROUP OVER LOCAL FIELDS

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Acta math.matica Scientia 1996年第2期16卷 129-141页

作者：周广才郑维行 dept. of math. & Mech. Southeast University Nanjing 210018 China dept. of math. Nanjing University Nanjing 210008 China

Let G be a Heisenberg group over local field K. In the paper we give some local maximal functions which define the Hardy spaces h(P)(G) equivalently, obtain the atomic decomposition of local Hardy spaces. We also give... 详细信息

关键词： Heisenberg group local field local Hardy space

T1 theorem for Besov and Triebel-Lizorkin spaces

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Science China math.matics 2005年第5期48卷 657-665页

作者： DENG Donggao & HAN Yongsheng Department of math.matics, Zhongshan University, Guangzhou 510275, China Department of math.matics, Auburn University, Alabama, 36849, USA dept. of math. Zhongshan Univ. Guangzhou 510275 China dept. of math. Auburn Univ. Alabama 36849 United States

Using the discrete Calderon type reproducing formula and the PlancherelPolya characterization for the Besov and Triebel-Lizorkin spaces, the T1 theorem for the Besov and Triebel-Lizorkin spaces was proved.

关键词： T1 theorem Besov and Triebel-Lizorkin spaces Calderon reproducing formula Plancherel-Polya inequalities.