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H1-Bounds for Spectral Multipliers on Graphs

Ioanna Kyrezi and Michel Marias
Proceedings of the American Mathematical Society
Vol. 132, No. 5 (May, 2004), pp. 1311-1320
Stable URL: http://www.jstor.org/stable/4097207
Page Count: 10
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H1-Bounds for Spectral Multipliers on Graphs
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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 H1.

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