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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
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 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.
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- Research Article
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- Copyright © Editorial Board of Nagoya Mathematical Journal 2011
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