Graphs with positive spectrum

In this paper, we prove sharp ℓ2$\ell ^2$ decay estimates of nonnegative generalized subharmonic functions on graphs with positive Laplacian spectrum, which extends the result by Li and Wang (J. Differential Geom. 58 (2001) 501–534) on Riemannian manifolds.

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Veröffentlicht in:Journal of the London Mathematical Society 2023-06, Vol.107 (6), p.2054-2078
Hauptverfasser: Hua, Bobo, Lu, Zhiqin
Format: Artikel
Sprache:eng
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Zusammenfassung:In this paper, we prove sharp ℓ2$\ell ^2$ decay estimates of nonnegative generalized subharmonic functions on graphs with positive Laplacian spectrum, which extends the result by Li and Wang (J. Differential Geom. 58 (2001) 501–534) on Riemannian manifolds.
ISSN:0024-6107
1469-7750
DOI:10.1112/jlms.12733