THE HARDY INEQUALITY About its History and Some Related Results. 2007[2]Alois Kufner, Lars-Erik Persson, Natasha Samko. WEIGHTED INEQUALITIES OF HARDY TYPE, Second Edition. 2017.[3] B. Opic, A. Kufner. Hardy-type inequalities. 1990.[4] 赖宝峰. Hardy不等式的若干推广与应用.[5] G. H. ...
The article presents information on Hardy-Sobolev inequality. One of the consequences of this inequality is that the operator has a positive first eigenvalue. The first eigenvalue has an associated positive eigenfunction. The article is based on improvements of the one dimensional Hardy inequality ...
(E-mail:wenjiajin623@163;kobren427@163) AbstractForp>1,manyimprovedorgeneralizedresultsofthewell-knownHardy’sinequality havebeenestablished.Inthispaper,bymeansoftheweightcoefficientmethod,weestablish thefollowingHardytypeinequalityforp=−1: n i=1 1 i i j=1 aj −1 <2 n i=1 1− π ...
The Martingale Hardy Type Inequality for Marcinkiewicz-Fejer Means of Two-dimensional Conjugate Walsh-Fourier Series 下载文档 收藏 打印 转格式 31阅读文档大小:238.06K10页艾丽安利上传于2015-04-30格式:PDF 计算机知识windows系统:开始--运行--命令大全0421050529第一期 ...
Using a groundstate transformation, we give a new proof of the optimal Stein-Weiss inequality of Herbst [\\int_{\\R^N} \\int_{\\R^N} \\frac{\\varphi (x)}{\\abs{x}^\\frac{\\alpha}{2}} I_\\alpha (x - y) \\frac{\\varphi (y)}{\\abs{y}^\\frac{\\alpha}{2}}\\...
3、hardy inequality.the second job we do is a promotion to the classic integral type of hardy inequality:.assuming.then we obtain .and we define .key words : hardy inequality ; hardy integral inequality ; holder inequality ; bernolli inequality; weight function ; weight coefficientclassification...
The classical Hardy inequality for fixed exponent p ∈ (1, ∞) is∞ 0 |u(x)| p x −p+a dx ≤p p −1 −ap∞ 0 |u ′ (x)| p x a dx, where a < p −1, u is absolutely continuous on [0, ∞), and u(0) = 0. Neˇcas ...
Hardy-type inequality for fuzzy integrals In [10], Hardy proved the following inequality:∫0∞Fxpdx<pp-1p∫0∞fp(x)dx,where p>1, f:[0,∞)→[0,∞) is an integrable function (f≠0) and F(x)=∫0xf(t)dt. Furthermore, for parameters a,b such that 0<a<b<∞, the following in...
1) Hardy type inequality Hardy型不等式 1. TheHardy type inequalityis extended to the Banach-space-valued Vilenkin martingales-Fourier coefficients. 对Banach空间值Vilenkin鞅建立了Hardy型不等式,推广了Weisz中的相应结论。 2. A class ofHardy type inequalityis given by the method of function representatio...
Hardy-type inequality with double singular kernelsand the constantγ= (βp−1)/p. Note thatγ >0andk≥−1. Lets(x) =|x|/λ(x), consider the nonnegative kernelsv(x) =|x|1−α|g(s(x))|1−β;w(x) =|x|−α|g(s(x))|−β:(2)The functionv(resp.w) is singular...