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  • Weighted Best Local Approximation 免费阅读 下载全文
  • In this survey, the notion of a balanced best multipoint local approximation is fully exposed since they were treated in the Lpspaces and recent results in Orlicz spaces. The notion of balanced point, which was introduced by Chui et al. in 1984 are extensively used.
  • On Copositive Approximation in Spaces of Continuous Functions II: The Uniqueness of Best Copositive Approximation 免费阅读 下载全文
  • Some Inequalities for the Polynomial with S-Fold Zeros at the Origin 免费阅读 下载全文
  • Let p(z) be a polynomial of degree n, which has no zeros in |z|<1,Dewan et al.[K.K.Dewan and Sunil Hans, Generalization of certain well known polynomial inequalities, J. Math. Anal. Appl.,363(2010),pp.38–41] established |zp’(z)+nβ/2p(z)≤n/2{(|β/2|+|1+β/2|)max|z|=1|p(z)|-(|1+β/2|-|β/2|)min|z|=1|p(z)|},for any|β|≤1 and |z|=1.In this paper we improve the above inequality for the polynomial which has no zeros in |z|
  • H^1-Estimates of the Littlewood-Paley and Lusin Functions for Jacobi Analysis II 免费阅读 下载全文
  • Let(R+,*,?) be the Jacobi hypergroup. We introduce analogues of the Littlewood-Paley g function and the Lusin area function for the Jacobi hypergroup and consider their( H~1, L~1) boundedness. Although the g operator for(R+,*,?) possesses better property than the classical g operator, the Lusin area operator has an obstacle arisen from a second convolution. Hence, in order to obtain the( H~1, L~1) estimate for the Lusin area operator, a slight modification in its form is required.
  • On the Green Function of the Annulus 免费阅读 下载全文
  • General Interpolation Formulae for Barycentric Blending Interpolation 免费阅读 下载全文
  • General interpolation formulae for barycentric interpolation and barycentric rational Hermite interpolation are established by introducing multiple parameters,which include many kinds of barycentric interpolation and barycentric rational Hermite interpolation. We discussed the interpolation theorem, dual interpolation and special cases. Numerical example is given to show the effectiveness of the method.
  • Hardy Type Estimates for Riesz Transforms Associated with Schrodinger Operators on the Heisenberg Group 免费阅读 下载全文
  • Let Hnbe the Heisenberg group and Q=2n +2 be its homogeneous dimension. In this paper, we consider the Schrdinger operator-?Hn+V, where ?Hn is the sub-Laplacian and V is the nonnegative potential belonging to the reverse Ho ¨lder class Bq1 for q1≥ Q/2. We show that the operators T1= V(-?Hn +V)-1 and T2=V1/2(-?Hn +V)-1/2 are both bounded from H1L(Hn) into L1(Hn). Our results are also valid on the stratified Lie group.
  • Toeplitz Type Operator Associated to Singular Integral Operator with Variable Kernel on Weighted Morrey Spaces 免费阅读 下载全文
  • Suppose Tk,1 and Tk,2 are singular integrals with variable kernels and mixed homogeneity or ± I(the identity operator). Denote the Toeplitz type operator by Tb=∑Qk=1Tk,1MbTk,2,where Mbf=bf. In this paper, the boundedness of Tbon weighted Morrey space are obtained when b belongs to the weighted Lipschitz function space and weighted BMO function space, respectively.
  • 《分析论及其应用:英文版》封面
      2016年
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