𝐻¹-bounds for spectral multipliers on graphs

Kyrezi, Ioanna; Marias, Michel

doi:10.1090/S0002-9939-03-07356-8

$H^{1}$-bounds for spectral multipliers on graphs
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by Ioanna Kyrezi and Michel Marias PDF

Proc. Amer. Math. Soc. 132 (2004), 1311-1320 Request permission

Abstract:

We prove that certain spectral multipliers associated with the discrete Laplacian on graphs satisfying the doubling volume property and the Poincaré inequality are bounded on the Hardy space $H^{1}$.

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