Sobolev spaces on graphs

DOI10.2989/16073600509486144zbMath1092.05035OpenAlexW2046618600MaRDI QIDQ3371515

Mikhail I. Ostrovskii

Publication date: 21 February 2006

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2989/16073600509486144

zbMATH Keywords

Cheeger constantBanach-Mazur distanceisoperimetric constant of a graphSobolev space on a graph

Mathematics Subject Classification ID

Extremal problems in graph theory (05C35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Convexity and finite-dimensional Banach spaces (including special norms, zonoids, etc.) (aspects of convex geometry) (52A21)

Related Items (11)

Hemivariational inequalities on graphs ⋮ 𝐿₁-distortion of Wasserstein metrics: A tale of two dimensions ⋮ Extending compositional data analysis from a graph signal processing perspective ⋮ Sobolev spaces on compact groups ⋮ The existence of extremal functions for discrete Sobolev inequalities on lattice graphs ⋮ A Meyers type regularity result for approximations of second order elliptic operators by P1 finite elements ⋮ Minimum congestion spanning trees in planar graphs ⋮ Interpolation of Sobolev spaces, Littlewood-Paley inequalities and Riesz transforms on graphs ⋮ Computing spectral bounds of the Heisenberg ferromagnet from geometric considerations ⋮ Asymptotic estimates for the \(p\)-Laplacian on infinite graphs with decaying initial data ⋮ Commuting projections on graphs

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