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利用Gram矩阵的正定性和Bernoulli不等式得到Holder不等式的一个加强的结果.由此建立了Hardy-Hilbert重级数定理的一个改进.特别,当p=2时,得到了经典的Hilbert重级数定理的一个很强的结果. 相似文献
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一个具最佳常数的多参数Hardy-Hilbert不等式 总被引:1,自引:0,他引:1
本文引入参数λ1,λ2,α,研究双参数型Hardy-Hilbert不等式.利用权系数方法,得到了一个多参数的Hardy-Hilbert重级数不等式及其等价形式,推广了有关文献的一些结果. 相似文献
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本文研究了Hardy-Hilbert不等式的推广.利用β函数,获得了Hardy-Hilbert不等式推广的一种统一模式,且推广了杨必成在文献[2,4]中的已知结果. 相似文献
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一个推广的具最佳常数的多参数Hardy-Hilbert不等式 总被引:2,自引:0,他引:2
刘琼 《数学的实践与认识》2008,38(2):127-132
引入λ1,λ2,α等多个参数,利用权系数方法,给出了一个推广的具最佳常数的多参数Hardy-Hilbert重级数不等式,并给出其等价形式. 相似文献
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一个新的Hardy-Hilbert类不等式及其应用 总被引:11,自引:2,他引:9
本文求出一个具有相同最佳常数因子的类似于Hardy-Hilbert不等式的新不 等式.作为应用,给出它的等价形式及一些特殊结果. 相似文献
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建立一个对偶的Hardy-Hilbert不等式,它是Hilbert不等式的具有最佳常数因子的(p,q)-参数形式的推广.本文还考虑了它的更一般的推广形式及等价形式. 相似文献
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We study a class of self-similar processes with stationary increments belonging to higher order Wiener chaoses which are similar to Hermite processes. We obtain an almost sure wavelet-like expansion of these processes. This allows us to compute the pointwise and local Hölder regularity of sample paths and to analyse their behaviour at infinity. We also provide some results on the Hausdorff dimension of the range and graphs of multidimensional anisotropic self-similar processes with stationary increments defined by multiple Wiener–Itô integrals. 相似文献
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It is considered the class of Riemann surfaces with dimT1 = 0, where T1 is a subclass of exact harmonic forms which is one of the factors in the orthogonal decomposition of the spaceΩH of harmonic forms of the surface, namely The surfaces in the class OHD and the class of planar surfaces satisfy dimT1 = 0. A.Pfluger posed the question whether there might exist other surfaces outside those two classes. Here it is shown that in the case of finite genus g, we should look for a surface S with dimT1 = 0 among the surfaces of the form Sg\K , where Sg is a closed surface of genus g and K a compact set of positive harmonic measure with perfect components and very irregular boundary. 相似文献
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Kunyang Wang Feng Dai 《分析论及其应用》2007,23(1):50-63
As early as in 1990, Professor Sun Yongsheng, suggested his students at Beijing Normal University to consider research problems on the unit sphere. Under his guidance and encouragement his students started the research on spherical harmonic analysis and approximation. In this paper, we incompletely introduce the main achievements in this area obtained by our group and relative researchers during recent 5 years (2001-2005). The main topics are: convergence of Cesaro summability, a.e. and strong summability of Fourier-Laplace series; smoothness and K-functionals; Kolmogorov and linear widths. 相似文献
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ZHENG ShiJun 《分析论及其应用》2004,20(3)
Schr(o)dinger operator is a central subject in the mathematical study of quantum mechanics.Consider the Schrodinger operator H = -△ V on R, where △ = d2/dx2 and the potential function V is real valued. In Fourier analysis, it is well-known that a square integrable function admits an expansion with exponentials as eigenfunctions of -△. A natural conjecture is that an L2 function admits a similar expansion in terms of "eigenfunctions" of H, a perturbation of the Laplacian (see [7], Ch. Ⅺ and the notes), under certain condition on V. 相似文献
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《数学学报(英文版)》2014,(9)
<正>Submission Authors must use LaTeX for typewriting,and visit our website www.actamath.com to submit your paper.Our address is Editorial Office of Acta Mathematica Sinica,Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100190,P.R.China. 相似文献
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《数学研究及应用》2014,(6)
<正>Aims and Scope Journal of Mathematical Research with Applications(JMRA),formerly Journal of Mathematical Research and Exposition(JMRE)created in 1981,is one of the transactions of China Society for Industrial and Applied Mathematics,and is a bimonthly journal.JMRA is dedicated to publishing first-rate original research papers in all areas of mathematics with applications,and making research findings available to a wide scientific world,as JMRE has for many years.In line with the name change,the new scope of Journal of Mathematical Research with Applications will not include the articles on mathematical methodology and mathematical philosophy.Copyright Information 相似文献