Sharp spectral multipliers for Hardy spaces associated to non-negative self-adjoint operators satisfying Davies-Gaffney estimates
Date
2013
Authors
Chen, P.
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Journal article
Citation
Colloquium Mathematicum, 2013; 133(1):51-65
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Abstract
We consider the abstract non-negative self-adjoint operator L acting on L2(X)which satisfies Davies-Gaffney estimates and the corresponding Hardy spaces HpL(X). We assume that doubling condition holds for the metric measure space X. We show that a sharp Hormander-type spectral multiplier theorem on HpL(X) follows from restriction type estimates and the Davies-Gaffney estimates. We also describe the sharp result for the boundedness of Bochner-Riesz means on HpL(X).
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Link to a related website: http://arxiv.org/pdf/1211.1084, Open Access via Unpaywall