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Notes on boundedness of spectral multipliers on Hardy spaces associated to operators

Published online by Cambridge University Press:  11 January 2016

Bui The Anh
Bui The Anh*
Affiliation:
Department of Mathematics, University of Pedagogy, HoChiMinh City, Vietnambtanh80@yahoo.com
*
Department of Mathematics, Macquarie University, NSW 2109, Australiathe.bui@mq.edu.au
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Abstract

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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 e–tl whose kernel satisfies the standard Gaussian upper bounds. We prove that the spectral multiplier F(L) is bounded on for 0 < p < 1, the Hardy space associated to operator L, when F is a suitable function.

Keywords

34L0530H10
Type
Research Article
Information
Nagoya Mathematical Journal , Volume 203 , September 2011 , pp. 109 - 122
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2011

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