Notes on boundedness of spectral multipliers on hardy spaces associated to operators | Macquarie University ResearchOnline

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Title: Notes on boundedness of spectral multipliers on hardy spaces associated to operators
Related: Nagoya mathematical journal, Vol. 203, (2011), p.109-122
DOI: 10.1215/00277630-1331881
Publisher: Duke University Press
Date: 2011
Author/Creator: Anh, Bui The
Description: 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 HpL(X) for 0 < p ≤ 1, the Hardy space associated to operator L, when F is a suitable function.
Description: 14 page(s)
Resource Type: journal article
Organisation: Macquarie University. Dept. of Mathematics

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