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	1. Boundeness of Generalized Maximal Operaters on Homogeneous Spaces
	Weijie Hou , Liu Mingju
	Mathematics 25 November 2008
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	Abstract: Maximal functions play a very important role in harmonic analysis. The classical Morrey spaces were introduced by Morrey to study the local behaviour of solutions to second order elliptic partial differential equations. Since then, these spaces play an important role in studying the regularity of solutions to partial differential equations. As homogeneous spaces may be considered as an extension of R^n spaces, it is natural and important to study the boundeness for operaters in Morrey spaces on homogeneous spaces. In this paper, the authors introduce a type of topological structure in the Cartesian product and a set function mapping the balls on homogeneous spaces into the sets in the Cartesian product , and obtain boundeness of generalized operators in Morrey spaces 。Some results have been obtained and the result in this paper improve and extend the known results.
	TO cite this article:Weijie Hou , Liu Mingju . Boundeness of Generalized Maximal Operaters on Homogeneous Spaces[OL].[25 November 2008] http://en.paper.edu.cn/en_releasepaper/content/26015


	2. A Parabolic Singular Integral Operator With Rough Kernel
	Yanping Chen,Yong Ding,Dashan Fan
	Mathematics 25 September 2008
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	Abstract:Let $Omega$ be an $H^1(S^{n-1})$ function on the unit sphere satisfying a certain cancellation condition. We study the $L^p$ boundedness of the singular integral operator $$T f(x)=hbox{p.v.}int_{{\\Bbb R}^n}f(x-y)Omega(y^prime)rho(y)^{-alpha},dy,$$ where $alphageq n$ and $rho$ is a norm function which is homogeneous with respect to certain nonistropic dilation. The result in the paper substantially improves and extends some known results.
	TO cite this article:Yanping Chen,Yong Ding,Dashan Fan. A Parabolic Singular Integral Operator With Rough Kernel[OL].[25 September 2008] http://en.paper.edu.cn/en_releasepaper/content/24364

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	3. The Decomposition of Product Space $H^{1}_{L}\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\times BMO_{L}$
	Li Pengtao ,Peng Lizhong
	Mathematics 27 May 2008
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	Abstract:In analogy with classical results([BIJZ]), we prove that functions in the product of the Hardy space $H^{1}_{L}$ associated with Schr“{o}dinger operators $L=-triangle+V$ and its dual space $BMO_{L}$ admit a suitable decomposition. We obtain that for $fin H^{1}_{L}$ and $bin BMO_{L}$, the point-wise product $b cdot f$ as a Schwartz distribution, denoted by $b times f in S＇(R^{n})$, can be decomposed in two parts; precisely, $b times f=u+v$ where $u in L^{1}(R^{n})$ while $v$ lies in Hardy-Orlicz space associated with Schr”{o}dinger operators $H^{{mathcal{P}}}_{L}(R^{n},d mu)$.
	TO cite this article:Li Pengtao ,Peng Lizhong . The Decomposition of Product Space $H^{1}_{L}\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\times BMO_{L}$[OL].[27 May 2008] http://en.paper.edu.cn/en_releasepaper/content/21797


	4. On the solution of Dirichlet’s problem of complex Monge-Amp`ere equation on Cartan-Hartogs domain of the second type
	Yin Weiping,Yin Xiaolan
	Mathematics 26 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 second 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 second type[OL].[26 May 2008] http://en.paper.edu.cn/en_releasepaper/content/21774


	5. 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


	6. 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


	7. Schwarz-Pick Estimates for bounded holomorphic functions in the unit ball of C^n
	Chen Zhihua,Liu Yang
	Mathematics 05 May 2008
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	Abstract:We give a Schwarz-Pick Estimate for bounded holomorphic functions on unit ball in C^n, and generalize some early work of Schwarz-Pick Estimates for bounded holomorphic functions on unit disk in C.
	TO cite this article:Chen Zhihua,Liu Yang. Schwarz-Pick Estimates for bounded holomorphic functions in the unit ball of C^n[OL].[ 5 May 2008] http://en.paper.edu.cn/en_releasepaper/content/21093


	8. The classification of proper holomorphic mappings between special Hartogs triangles of different dimensions
	Chen Zhihua ,Liu Yang
	Mathematics 05 May 2008
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	Abstract:In this paper, we give the classification of proper holomorphic mappings between special Hartogs triangles of different dimensions; furthermore, some new results on proper holomorphic mappings between special Hartogs triangles of different dimensions are introduced. It can be found that our work generalizes the existed results on special Hartogs triangles of same dimensions.
	TO cite this article:Chen Zhihua ,Liu Yang . The classification of proper holomorphic mappings between special Hartogs triangles of different dimensions[OL].[ 5 May 2008] http://en.paper.edu.cn/en_releasepaper/content/21073


	9. 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


	10. Phase retrieval of time-limited signals
	Fu Yingxiong,Li Luoqing
	Mathematics 25 February 2008
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	Abstract: This paper concerns the problem of determining a time-limited signal for which its phase is known.
	TO cite this article:Fu Yingxiong,Li Luoqing. Phase retrieval of time-limited signals[OL].[25 February 2008] http://en.paper.edu.cn/en_releasepaper/content/18825

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