Bilateral Hardy-type inequalities

DOI10.1007/s10114-012-2316-0zbMath1263.26028arXiv1206.5074OpenAlexW2149668273MaRDI QIDQ1942643

Chen Mu-Fa

Publication date: 19 March 2013

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1206.5074

zbMATH Keywords

logarithmic Sobolev inequalitynormed linear spacesplitting techniqueNash inequalityHardy-type inequalitymean zerovanishing at two endpoints

Mathematics Subject Classification ID

Diffusion processes (60J60) Inequalities involving derivatives and differential and integral operators (26D10) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (10)

Half-linear dynamic equations and investigating weighted Hardy and Copson inequalities ⋮ The first Dirichlet eigenvalue of birth-death process on trees ⋮ Discrete Hardy-type Inequalities ⋮ Discrete weighted Hardy inequalities with different kinds of boundary conditions ⋮ Unified speed estimation of various stabilities ⋮ Poincaré and weak Poincaré inequalities for the mixed Poisson measure ⋮ A connection between weighted Hardy's inequality and half-linear dynamic equations ⋮ Mixed eigenvalues of discrete \(p\)-Laplacian ⋮ New characterizations of weights in Hardy and Opial type inequalities via solvability of dynamic equations ⋮ The optimal constant in Hardy-type inequalities

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