Results 11 to 20 of about 540,590 (160)
Inverse Limit Spaces Satisfying a Poincaré Inequality
Analysis and Geometry in Metric Spaces, 2015 We give conditions on Gromov-Hausdorff convergent inverse systems of metric measure graphs which imply that the measured Gromov-Hausdorff limit (equivalently, the inverse limit) is a PI space i.e., it satisfies a doubling condition and a Poincaré ...
Cheeger Jeff, Kleiner Bruce
doaj +2 more sources
From dimension free concentration to Poincaré inequality
, 2015 We prove that a probability measure on an abstract metric space satisfies a non trivial dimension free concentration inequality for the $\ell_2$ metric if and only if it satisfies the Poincaré ...
Gozlan, Nathael +2 more
core +8 more sources
On the uniform Poincaré inequality [PDF]
, 2007 huit pagesWe give a proof of the Poincaré inequality in W^{1,p} with a constant that is independent of U, where U is a set of uniformly bounded and uniformly Lipschitz domains in R^n.
Chakib, Abdelkrim +1 more
core +9 more sources
Lyapunov conditions for logarithmic Sobolev and Super Poincaré inequality [PDF]
, 2009 International audienceWe show how to use Lyapunov functions to obtain functional inequalities which are stronger than Poincaré inequality (for instance logarithmic Sobolev or $F$-Sobolev).
Wang, Feng-Yu +3 more
core +7 more sources
Function approximation via the subsampled Poincaré inequality [PDF]
, 2021 Function approximation and recovery via some sampled data have long been studied in a wide array of applied mathematics and statistics fields. Analytic tools, such as the Poincaré inequality, have been handy for estimating the approximation errors in ...
Hou, Thomas Y., Chen, Yifan
core
L 2 harmonic forms and finiteness of ends
Anais da Academia Brasileira de Ciências, 2013 In this paper, we obtain vanishing theorems and finitely many ends theorems of complete Riemannian manifolds with weighted Poincaré inequality, applying them to minimal hypersurfaces.
PENG ZHU
doaj +1 more source
The Poincaré Inequality Does Not Improve with Blow-Up
Analysis and Geometry in Metric Spaces, 2016 For each β > 1 we construct a family Fβ of metric measure spaces which is closed under the operation of taking weak-tangents (i.e. blow-ups), and such that each element of Fβ admits a (1, P)-Poincaré inequality if and only if P > β.
Schioppa Andrea
doaj +1 more source
Higher Integrability of the Composite Operator T D G for Differential Forms
Journal of Harbin University of Science and Technology, 2023 We firstly prove the higher integrability of the composite operator T D G by using Poincaré-Sobolev inequalities when 1< p < n. Then further consider the case of p ≥ n and obtain the higher order norm estimation of composite operators, by which the ...
ZHAO Pengfei, BI Shujuan, LIU Zhenjie
doaj +1 more source
Resistance conditions, Poincaré inequalities, the Lip-lip condition and Hardy’s inequalities
Demonstratio Mathematica, 2016 This note investigates weaker conditions than a Poincaré inequality in analysis on metric measure spaces. We discuss two resistance conditions which are stated in terms of capacities.
Kinnunen Juha, Silvestre Pilar
doaj +1 more source
Complexity, 2021 In this paper, we investigate the global exponential stability and periodicity of nonautonomous cellular neural networks with reaction-diffusion, impulses, and time-varying delays.
Weiyi Hu, Kelin Li
doaj +1 more source