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	1. On the solution of Dirichlet’s problem of complex Monge-Amp`ere equation on Cartan-Hartogs domain of the first type
	Yin Weiping,Yin Xiaolan
	Mathematics 15 May 2008
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	Abstract:Complex Monge-Amp`ere equation is a nonlinear equation with high degree, therefore to get its solution is very difficult. In present paper how to get the solution of Dirichlet’s problem of Complex Monge-Amp`ere equation on the Cartan-Hartogs domain of the first type is discussed by using the analytic method. Firstly, the complex Monge-Amp`ere equation is reduced to the nonlinear ordinary differential equation, then the solution of the Dirichlet’s problem of complex Monge-Amp`ere equation is reduced to the solution of two point boundary value problem of the nonlinear second-order ordinary differential equation. Secondly, the solution of the Dirichlet’s problem is given in semiexplicit formula, and under the special case the exact solution is obtained. These results may be helpful for the numerical method of Dirichlet’s problem of complex Monge-Amp`ere equation on the Cartan-Hartogs domain.
	TO cite this article:Yin Weiping,Yin Xiaolan. On the solution of Dirichlet’s problem of complex Monge-Amp`ere equation on Cartan-Hartogs domain of the first type[OL].[15 May 2008] http://en.paper.edu.cn/en_releasepaper/content/21446


	2. Compactness of Commutator of Riesz transforms Associated to Schroginger operator
	Pengtao Li,Lizhong Peng
	Mathematics 06 May 2008
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	Abstract:In this paper, we consider the compactness of some commutators of Riesz transforms associated to Schr\\\"{o}dinger operator $L=-triangle+V(x)$ on $R^{n}, ngeq 3.$ We assume that $V(x)$ is non-zero, nonnegative and belongs to the reverse H\\\"{o}lder class $B_{q}$ for $q>frac{n}{2}$. Let $T_{1}=(-triangle+V)^{-1}V,quad T_{2}=(-triangle+V)^{-1/2}V^{1/2}$ and $T_{3}=(-triangle+V)^{-1/2}nabla$, we obtain the commutator operators $[b,T_{j}], (j=1,2,3)$ are compact operators on $L^{p}(R^{n})$ when $p$ ranges in an interval, where $bin VMO(R^{n})$.
	TO cite this article:Pengtao Li,Lizhong Peng. Compactness of Commutator of Riesz transforms Associated to Schroginger operator[OL].[ 6 May 2008] http://en.paper.edu.cn/en_releasepaper/content/21165


	3. Recurrence Formulae for Box Integrals
	Zhi Cao
	Mathematics 11 March 2008
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	Abstract:Applying a formula of the multivariate $f$-Box splines, some recurrence formulae for the so-called box integrals are obtained. They are used to deduce some \\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\
	TO cite this article:Zhi Cao. Recurrence Formulae for Box Integrals[OL].[11 March 2008] http://en.paper.edu.cn/en_releasepaper/content/19214


	4. Strongly Singular Calder＇{o}n-Zygmund Operators
	Yan Lin,Shanzhen Lu
	Mathematics 28 November 2007
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	Abstract:In this paper, the authors obtain two kinds of endpoint estimates for strongly singular Calder＇{o}n-Zygmund operators. Moreover, the pointwise estimate for sharp maximal function of commutators generated by strongly singular Calder＇{o}n-Zygmund operators and BMO functions is also established. As its applications, the boundedness of the commutators on Morrey type spaces will be obtained.
	TO cite this article:Yan Lin,Shanzhen Lu. Strongly Singular Calder＇{o}n-Zygmund Operators[OL].[28 November 2007] http://en.paper.edu.cn/en_releasepaper/content/16631


	5. On Marcinkiewicz integral with rough kernels
	Lu Shanzhen
	Mathematics 23 November 2007
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	Abstract:In this summary paper, the author would like to introduce some recent progress in the theory of Marcinkiewicz integral and will pay more attention to the case of rough kernels. It consists of six sections. 1. Introduction 2. $L^p$-boundedness of Marcinkiewicz integral 3. Weighted $L^p$-boundedness of Marcinkiewicz integral 4. Boundedness of Marcinkiewicz integral on the other spaces 5. Commutators generated by Marcinkiewicz integral 6. Marcinkiewicz integral on product spaces.
	TO cite this article:Lu Shanzhen . On Marcinkiewicz integral with rough kernels[OL].[23 November 2007] http://en.paper.edu.cn/en_releasepaper/content/16548


	6. A note on a conjecture of Calder′on on weak type L1 boundedness of CZOs
	Chen Jiecheng,Zhu Xiangrong
	Mathematics 01 December 2006
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	Abstract:For $f\\in \\QTR{cal}{S}(R^2)$ and $\\Omega \\in L^1(S^1)$, $\\int_{S^1}\\Omega (x^{\\prime })dx^{\\prime }=0$, define $$T_\\Omega (f)(x)=\\underset{\\epsilon \\rightarrow 0+}\\to{\\lim }\\int_{\\left\| x-y\\right\| \\geq \\epsilon }\\frac{\\Omega (y/\\left\| y\\right\| )}{\\left\| y\\right\| ^2}f(x-y)dy. $$In this paper, we shall prove that there are a class of functions in $H^1(S^1)-L\\ln {}^{+}L(S^1)$ such that $T_\\Omega $ is weak type $L^1-$bounded.
	TO cite this article:Chen Jiecheng,Zhu Xiangrong. A note on a conjecture of Calder′on on weak type L1 boundedness of CZOs[OL].[ 1 December 2006] http://en.paper.edu.cn/en_releasepaper/content/10111

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