Graphs of bounded degree and the \(p\)-harmonic boundary

DOI10.2140/pjm.2010.248.429zbMath1228.43004arXiv0806.3073OpenAlexW2062266751MaRDI QIDQ611877

Michael J. Puls

Publication date: 15 December 2010

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0806.3073

zbMATH Keywords

Cayley graphrough isometryfinitely generated group\(l^p\) cohomologyp-harmonic boundaryp-harmonic functionRoyden boundary

Mathematics Subject Classification ID

(L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15) Infinite graphs (05C63)

Related Items (6)

Parabolic theory of the discrete \(p\)-Laplace operator ⋮ THE -HARMONIC BOUNDARY AND -MASSIVE SUBSETS OF A GRAPH OF BOUNDED DEGREE ⋮ The \(p\)-harmonic boundary for quasi-isometric graphs and manifolds ⋮ Vanishing of ℓ^p-cohomology and transportation cost ⋮ Linear and Nonlinear Harmonic Boundaries of Graphs; An Approach with ℓ p-Cohomology in Degree One ⋮ The \(p\)-Royden and \(p\)-harmonic boundaries for metric measure spaces

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