Proceedings of the American Mathematical Society

Author(s): Ioanna Kyrezi; Michel Marias
Journal: Proc. Amer. Math. Soc. 132 (2004), 1311-1320.
MSC (2000): Primary 42B15, 42B20, 42B30
Posted: December 12, 2003
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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 $H^{1}$ .

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Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 42B15, 42B20, 42B30

Ioanna Kyrezi
Affiliation: Department of Applied Mathematics, University of Crete, Iraklio 714.09, Crete, Greece
Email: kyrezi@fourier.math.uoc.gr

Michel Marias
Affiliation: Department of Mathematics, Aristotle University of Thessaloniki, Thessaloniki 54.124, Greece
Email: marias@math.auth.gr

DOI: 10.1090/S0002-9939-03-07356-8
PII: S 0002-9939(03)07356-8
Keywords: Graphs, spectral multipliers, imaginary powers of the Laplacian, Hardy spaces, Markov kernels
Received by editor(s): February 24, 2002
Posted: December 12, 2003
Communicated by: Andreas Seeger
Copyright of article: Copyright 2003, American Mathematical Society

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