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There are 83 papers published in subject: > since this site started. |
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1. Uniqueness of Meromorphic Functions Concerning Fixed Points | |||
Liqin Wang ,Luo, Xudan | |||
Mathematics 26 August 2009 | |||
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Abstract:In this paper, we discuss the uniqueness of meromorphic functions concerning fixed points . In view of the fixed points, we extend a recent conclusion due to Zhang and Lin. Moreover, our theorem generalizes some previous results of Fang and Qiu, Lin and Yi and so on. | |||
TO cite this article:Liqin Wang ,Luo, Xudan. Uniqueness of Meromorphic Functions Concerning Fixed Points [OL].[26 August 2009] http://en.paper.edu.cn/en_releasepaper/content/34657 |
2. Endpoint Estimate for Commutator of Riesz Transform Associated with | |||
Pengtao Li,Lizhong Peng | |||
Mathematics 22 July 2009 | |||
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Abstract:In this paper, we will discuss the H1L boundedness of commutator of Riesz transform associated with Schrödinger operator L = −Δ + V, where H1L (Rn) be the Hardy space associated with L. We assume that V (x) is a nonzero, nonnegative potential and belongs to Bq for some q > n/2. Let T1 = V (x)(− Δ+V )−1 , T2 = V 1/2(−Δ+V )−1/2 and T3 = ▽(−Δ+V )−1/2 , we obtain that, for b ∈ BMO(Rn), the commutator [b, Ti], (i =1, 2, 3) are of (H1L ,L1weak ) boundedness. | |||
TO cite this article:Pengtao Li,Lizhong Peng. Endpoint Estimate for Commutator of Riesz Transform Associated with[OL].[22 July 2009] http://en.paper.edu.cn/en_releasepaper/content/34003 |
3. NORMALITY CRITERIA ABOUT SOME SPECIAL DIFFERENTIAL POLYNOMIALS | |||
Jianming Qi,Ang Chen,Hongxun Yi | |||
Mathematics 08 July 2009 | |||
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Abstract:In this paper, we use the Nevanlinna theory and normal family theory to study the converse Bloch principle. Our results improve the results of K.S. Charak, J. Rieppo. Also we add a necessary condition about a special differential polynomial and improve the result which was obtained by Xu, Wu, and Liao. Furthermore, we point this condition can not be omitted and we extend the result to a new case. | |||
TO cite this article:Jianming Qi,Ang Chen,Hongxun Yi. NORMALITY CRITERIA ABOUT SOME SPECIAL DIFFERENTIAL POLYNOMIALS[OL].[ 8 July 2009] http://en.paper.edu.cn/en_releasepaper/content/33712 |
4. Entire solutions of a certain type of functional-differential equation | |||
Xiao-Bin Zhang,Hong-Xun Yi | |||
Mathematics 25 June 2009 | |||
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Abstract:In this paper, we shall utilize Nevanlinna value distribution theory and normal family to study the solvability of a certain type of functional-differential equation of the form f(z1+z2) = f(z1)f\ | |||
TO cite this article:Xiao-Bin Zhang,Hong-Xun Yi. Entire solutions of a certain type of functional-differential equation[OL].[25 June 2009] http://en.paper.edu.cn/en_releasepaper/content/33407 |
5. Inversion Formulas for the Spherical Radon-Dunkl Transform | |||
Zhongkai Li,Song Futao | |||
Mathematics 14 January 2009 | |||
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Abstract:The spherical Radon-Dunkl transform R_{kappa}, associated to weight functions invariant under a finite reflection group, is introduced,and some elementary properties are obtained in terms of $h$-harmonics. Several inversion formulas of $R_{kappa}$ are given with the aid of spherical Riesz-Dunkl potentials, the Dunkl operators, and some appropriate wavelet transforms. | |||
TO cite this article:Zhongkai Li,Song Futao. Inversion Formulas for the Spherical Radon-Dunkl Transform[OL].[14 January 2009] http://en.paper.edu.cn/en_releasepaper/content/27760 |
6. DISTORTION THEOREMS FOR BLOCH MAPPINGS ON THE UNIT POLYDISC ${D}^n | |||
wangjianfei ,Liu Taishun,Tang Xiaomin | |||
Mathematics 13 January 2009 | |||
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Abstract:In this paper, we establish distortion theorems for some various subfamilies of Bloch mappings defined in the unit polydisc $D^n$ with critical points, which extend the results of Liu and Minda to higher dimensions. We obtain lower bounds on $|\\\\det (f\\\ | |||
TO cite this article: wangjianfei ,Liu Taishun,Tang Xiaomin. DISTORTION THEOREMS FOR BLOCH MAPPINGS ON THE UNIT POLYDISC ${D}^n[OL].[13 January 2009] http://en.paper.edu.cn/en_releasepaper/content/27735 |
7. Distortion theorems on the Lie ball RIV(n) in Cn | |||
wangjianfei,Liu Taishun,Xu Huiming | |||
Mathematics 12 January 2009 | |||
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Abstract:In this paper, we introduce the subfamilies Hm(RIV(n)) of holomorphic mappings defined on the Lie ball RIV(n) which take into consideration the m-order to which the Jacobian determinant must vanish, as well as for the limiting case of locally biholomorphic mappings. Various distortion theorems for holomophic mappings Hm(RIV(n)) are established. The distortion theorems coincide with Liu and Minda as the special case of the unit disk. When m = 1 and m ! +1, the distortion theoerems reduce to the results obtained by Gong for RIV(n), respectively. Moreover, our method is different. As an application, the bounds for Bloch constants of Hm(RIV(n)) are given. | |||
TO cite this article:wangjianfei,Liu Taishun,Xu Huiming. Distortion theorems on the Lie ball RIV(n) in Cn[OL].[12 January 2009] http://en.paper.edu.cn/en_releasepaper/content/27691 |
8. A Generalized Radon Transform on the Plane | |||
Zhongkai Li,Song Futao | |||
Mathematics 12 January 2009 | |||
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Abstract:A new generalized Radon transform $R_{alpha,,beta}$ on the plane for functions even in each variable is defined, which has natural connections with the bivariate Hankel transform, the generalized biaxially symmetric potential operator $Delta_{alpha,,beta}$ and the Jacobi polynomials $P_k^{(beta,,alpha)}(t)$. The transform $R_{alpha,,beta}$ and its dual $R_{alpha,,beta}^ast$ are studied in a systematic way, and in particular, the generalized Fuglede formula and some inversion formulas for $R_{alpha,,beta}$ for functions in $L_{alpha,,beta}^p(RR^2_+)$ are obtained in terms of the bivariate Hankel-Riesz potential. Moreover, the transform $R_{alpha,,beta}$ is used to represent the solutions of the partial differential equations $Lu:=sum_{j=1}^m a_jDelta_{alpha,,beta}^ju=f$ with constant coefficients $a_j$\ | |||
TO cite this article:Zhongkai Li,Song Futao. A Generalized Radon Transform on the Plane[OL].[12 January 2009] http://en.paper.edu.cn/en_releasepaper/content/27671 |
9. A Way of Constructing Approximate Interpolating Neural Networks | |||
ding lei,sheng baohuai | |||
Mathematics 05 December 2008 | |||
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Abstract:In this paper, we present a type of single-hidden layer feedforward neural networks with thin-plate spline activation function. We find they can approximately interpolate, with arbitrary precision, any set of distinct data in one dimensions or multidimensional. They can uniformly approximate the continuous function of one variable as well as several variables. | |||
TO cite this article:ding lei,sheng baohuai. A Way of Constructing Approximate Interpolating Neural Networks[OL].[ 5 December 2008] http://en.paper.edu.cn/en_releasepaper/content/26338 |
10. Weighted Boundedness of Sublinear Operators in Morrey Spaces. | |||
Hou Weijie,Liu Mingju | |||
Mathematics 04 December 2008 | |||
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Abstract: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 a very import role in studying the regularity of solutions to second order elliptic partial differential equations.As Morrey spaces may be considered as an extension of Lebesgue spaces, it is natural and important to study the weighted boundedness for operaters in Morrey spaces. Much work in this direction has been done.The studying of sublinear operators is very active these years, in this paper, the authors introduce a type of topological structure in the Cartesian product and a set function, and in advance discuss weighted boundedness of sublinear operators in Morrey spaces. The result improve and extend the known results. | |||
TO cite this article:Hou Weijie,Liu Mingju. Weighted Boundedness of Sublinear Operators in Morrey Spaces.[OL].[ 4 December 2008] http://en.paper.edu.cn/en_releasepaper/content/26315 |
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