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A ROUGH HYPERSINGULAR INTEGRAL OPERATOR WITH AN OsciLLATING FACTOR ON FUNCTION SPACE

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Applied mathematics(A Journal of Chinese univ.rsities) 2007年第4期22卷 449-452页

作者： Ye Xiaofeng dept.of math.,zhejiang univ.,hangzhou 310027,china.dept.of math.,East china.JiaoTong univ.,Nanchang 330013,china. dept. of math. Zhejiang Univ. Hangzhou 310027 China dept. of math. East China JiaoTong Univ. Nanchang 330013 China

The singular integral operatorTα,βf（x）=p.v.∫R^n[e^i｜y｜^-βΩ（y’）]/[｜y｜^n＋α]f（x-y）dy,defined for all test functions f is studied, where Ω（y＇） is a distribution on the unit sphere S^n-1 satisfying certain cancellation condition. It is proved that Tα,β is a bounded operator from the Triebel-Lizorkin space Fp^s,q to the Triebel-Lizorkin space Fp^s＋γ,q, provided that Ω（y＇） is a distribution in the Hardy space H^r（S^n-1） with r = （n - 1）/（n - 1 ＋ γ）.

关键词： Hardy space hypersingular integral.

A　NOTE　ON　REGULARITY　AND　EXISTENCE　OF　SOLUTIONS　FOR　A　CLASS　OF　NON－UNIFORMLY　DEGENERATE　ELLIPTIC　EQUATIONS

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Applied mathematics(A Journal of Chinese univ.rsities) 1994年第1期9卷 55-64页

作者： LI JUNJIE(dept.of math.,zhejiang univ.rsity,hangzhou,310027) 1. dept. of math. Zhejiang University 310027 Hangzhou

In this paper we consider the Dirichlet problems of a non-uniformly digenerate elliptic equations of the formwhose prototype iswhere n C 1 N is a bounded domain,0 详细信息

In this paper we consider the Dirichlet problems of a non-uniformly digenerate elliptic equations of the formwhose prototype iswhere n C 1 N is a bounded domain,0

关键词： Elliptic Equation Non-uniformly Degenerate.

EXTENSIONS OF SOME INEQUALITIES

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Applied mathematics(A Journal of Chinese univ.rsities) 2001年第3期16卷 241-243页

作者： Chen Daoqiof math., zhejiang univ., hangzhou, 310027. dept. of math. Zhejiang Univ. Hangzhou

By using a simple analytic method the following inequalities are proved:(b x+y -a x+y )/(b x-a x)≥[(x+y)/x][(a+b)/2] y, for 00,x+y≥2; (b x+y -a x+y )/(b x-a x)0,x+y≤2. These inequalities are the extensions of inequalities of Qi Feng, Xu Senlin and Zheng Lin. And a conjection of Qi Feng is proved not true.

关键词： Analytic method inequality extension conjection.

HOMOCLINIC ORBITS FOR LAGRANGIAN SYSTEMS

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Chinese Annals of mathematics,Series B 1996年第2期17卷 245-256页

作者： Wu SHAOPING Departmentof mathematics, zhejiang univ.rsity, hangzhou, 310027, china. zhejiang univ DEPT MATHHANGZHOU 310027PEOPLES R CHINA

The existence of at least two homoclinic orbits for Lagrangian system (LS) is proved, wherethe Lagrangian L(t,x,y) =1/2∑aij(x)yiyj-V(t, x), in which the potential V(t,x) is globallysurperquadratic in x and T-periodic... 详细信息

关键词： Lagrangian systerm Superquadratic growth Concentration-compactness Minimax argument

A NOTE ON THE EXISTENCE OF SINGULAR INTEGRALS

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Applied mathematics(A Journal of Chinese univ.rsities) 2001年第3期16卷 290-296页

作者： Sun Yongzhongof math., zhejiang univ., hangzhou 310028 dept. of math., Wenzhou Teacher’s College, Wenzhou, 325003. dept. of math. Zhejiang Univ. Hangzhou

In this note the existence of a singular integral operator T acting on Lip α (R n) spaces is studied. Suppose f∈Lip α (R n)(0<α<1). If Tf (x 0) exists for a single point x 0∈R n, then Tf (x) exists... 详细信息

关键词： Singular integral Lip α (R n) space.

A REPRESENTATION THEOREM OF HARMONIC FUNCTIONS AND ITS APPLICATION TO BMO ON MANIFOLDS

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Applied mathematics(A Journal of Chinese univ.rsities) 2001年第3期16卷 279-284页

作者： Chen Jiecheng of math.,zhejiang univ. (Xixi Campus), hangzhou 310028. dept. of math. Zhejiang Univ. Hangzhou

In this paper a representation theorem of harmonic functions on manifolds is set up. As an application, a characterization of BMO in terms of Carleson measures is obtained.

关键词： BMO-function Carleson measure characterization.

REMARKS ON h-TRANSFORM AND DRIFT

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Chinese Annals of mathematics,Series B 1998年第4期19卷 473-478页

作者： YING JIANGANG (Department of mathematics, zhejiang univ.rsity, hangzhou 310027, china.) zhejiang univ Dept Math Hangzhou 310027 Peoples R China

The author studies the h-transforms of symmetric Markov processes and corresponding Dirichlet spaces, and also discusses the drift transformation of Fukushima and Takeda’s type[2] and improves their result by a diffe... 详细信息

关键词： Right processes Revuz measures h-transform

SOME FUNCTIONAL LIMIT THEOREMS FOR THE INFINITE SERIES OF OU PROCESSES

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Chinese Annals of mathematics,Series B 2003年第2期24卷 249-260页

作者： WANG WENSHENG LIN ZHENGYAN Department of mathematics, zhejiang univ.rsity, hangzhou 310028, china. Department of mathematics, hangzhou Teacher’s College, hangzhou 310012, china. E-mail: wswang@*** Department of mathematics, zhejiang univ.rsity, hangzhou 310028, china. zhejiang univ Dept Math Hangzhou 310028 Peoples R China hangzhou Teachers Coll Dept Math Hangzhou 310012 Peoples R China

This paper obtains functional modulus of continuity and Strassen's functional LIL of theinfinite series of independent Ornstein-Uhlenbeck processes, which also imply the Levy's exactmodulus of continuity and LIL of th... 详细信息

关键词： Ornstein-Uhlenbeck processes Stationary Gaussian processes Modulus of continuity Law of the iterated logarithm

STABLE DOUBLE LR ALGORITHM AND ITS ERROR ANALYSIS

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Applied mathematics(A Journal of Chinese univ.rsities) 1994年第1期9卷 35-43页

作者： CHEN,DAOQI(math.dept.Center oF Mahtematics scienceszhejiang univ.,hangzhou,310027) 1. math. dept. & Center of Mahtematics sciences zhejiang univ. 310027 Hangzhou

In this paper,the normative matrices and their double LR transformationwith origin shifts are defined,and the essential relationship between the double LR transformation of a normative matrix and the QR transformation of the related symmetrictridiagonal matrix is *** obtain a stable double LR algorithm for double LRtransformation of normative matrices and give the error analysis of our *** number of the stable double LR algorithm for normative matrices is only foursevenths of the rational QR algorithm for real symmetric tridiagonal matrices.

关键词： normative matrix double LR transformation stability.