-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 | References | Similar Articles | Additional Information

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 .

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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:
https://doi.org/10.1090/S0002-9939-03-07356-8

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