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 ...
We obtain a series of Hardy type inequalities for domains involving both distance to the boundary and distance to the origin. In particular, we obtain the Hardy─Sobolev inequality for the class of symmetric functions in a ball and prove that for d ≥ 3
Hardy inequalitiesCaccioppoli inequalitiesp -harmonic problemsNonlinear eigenvalue problemsAbstract We consider the anti-coercive partial differential inequality of ... I Skrzypczak - 《Nonlinear Analysis Theory Methods & Applications》 被引量: 36发表: 2013年 Lyapunov-type inequalities. With applications to...
The second type of the inequalities is motivated from probability theory and is new in the analytic context. The proofs are now rather elementary. Similar improvements are made for Nash inequality, Sobolev-type inequality, and the logarithmic Sobolev inequality on the intervals. This is a preview ...
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 Flag Hardy spaces and Marcinkiewicz multipliers on the Heisenberg group an expanded version ...
We establish various Hardy-type inequalities for the Dirichlet Laplacian in perturbed periodically twisted tubes of non-circular cross-sections. We also state conjectures about the existence of such inequalities in more general regimes, which we support by heuristic and numerical arguments.关键词:Primary...
It states that inequality is showed for the intervals (0, R) and (R, +∞) separately through the Hölder inequality and the aid of integration by parts. It says that inequalities can be demonstrated in a factorization form over weighted analogues and a set of constraints of the Poincaré ...
Partial Differential Equations/Functional AnalysisA Hardy type inequality for W02,1(Ω) functionsUne inégalité de type Hardy pour les fonctions de W02,1(Ω) Presented by Haïm Brezis Author links open overlay panelHernán Castro a, Juan Dávila b 1, Hui Wang a c 2Show more...
In the second section, the non-linear case (a general Hardy-type inequality) is handled with a direct and analytic proof. In the last section, it is illustrated that the basic estimates presented in the first two sections can still be improved considerably. 展开 ...