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September 2011 Notes on boundedness of spectral multipliers on Hardy spaces associated to operators
Bui The Anh
Nagoya Math. J. 203: 109-122 (September 2011). DOI: 10.1215/00277630-1331881

Abstract

Let L be a nonnegative self-adjoint operator on L2(X), where X is a space of homogeneous type. Assume that L generates an analytic semigroup etL whose kernel satisfies the standard Gaussian upper bounds. We prove that the spectral multiplier F(L) is bounded on HLp(X) for 0<p1, the Hardy space associated to operator L, when F is a suitable function.

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Bui The Anh. "Notes on boundedness of spectral multipliers on Hardy spaces associated to operators." Nagoya Math. J. 203 109 - 122, September 2011. https://doi.org/10.1215/00277630-1331881

Information

Published: September 2011
First available in Project Euclid: 18 August 2011

zbMATH: 1228.42014
MathSciNet: MR2834251
Digital Object Identifier: 10.1215/00277630-1331881

Subjects:
Primary: 30H10, 34L05

Rights: Copyright © 2011 Editorial Board, Nagoya Mathematical Journal

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