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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

$H^{1}$-bounds for spectral multipliers on graphs


Authors: Ioanna Kyrezi and Michel Marias
Translated by:
Journal: Proc. Amer. Math. Soc. 132 (2004), 1311-1320
MSC (2000): Primary 42B15, 42B20, 42B30
Published electronically: December 12, 2003
MathSciNet review: 2053335
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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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Additional Information

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: http://dx.doi.org/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
Published electronically: December 12, 2003
Communicated by: Andreas Seeger
Article copyright: © Copyright 2003 American Mathematical Society