Weighted Hardy and Poincaré Inequalities on Trees

DOI10.1112/jlms/52.1.121zbMath0835.26010OpenAlexW2321326685MaRDI QIDQ4864038

Luboš Pick, D. J. Harris, W. Desmond Evans

Publication date: 1 April 1996

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/jlms/52.1.121

zbMATH Keywords

weightsLebesgue spacePoincaré inequalitytreesHardy operatorLorenz space

Mathematics Subject Classification ID

Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (16)

Spectral gap, isoperimetry and concentration on trees ⋮ Ridged Domains, Embedding Theorems and Poincaré Inequalities ⋮ Widths of weighted Sobolev classes on a John domain: strong singularity at a point ⋮ Weighted discrete Hardy inequalities on trees and applications ⋮ A random walk on the Rado graph ⋮ Eigenvalue estimates for Schrödinger operators on metric trees ⋮ Widths of function classes on sets with tree-like structure ⋮ A decreasing rearrangement for functions on homogeneous trees ⋮ Scattering on graphs and one-dimensional approximations to N-dimensional Schrödinger operators ⋮ Sobolev Embeddings and Hardy Operators ⋮ NLS ground states on metric trees: existence results and open questions ⋮ Localization for Anderson models on metric and discrete tree graphs ⋮ Estimates for norms of two‐weighted summation operators on a tree under some restrictions on weights ⋮ Embedding theorem for weighted Sobolev classes with weights that are functions of the distance to some \(h\)-set ⋮ Some sufficient conditions for embedding a weighted Sobolev class on a John domain ⋮ Widths of weighted Sobolev classes with weights that are functions of the distance to some \(h\)-set: some limit cases

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