Hardy spaces and heat kernel regularity

Baptiste Devyver

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arXiv · 1308.5871

Hardy spaces and heat kernel regularity

Baptiste Devyver

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Abstract

In this paper, we show the equivalence between the boundedness of the Riesz transform $dΔ^{-1/2}$ on $L^p$, $p\in (2,p_0)$, and the equality $H^p=L^p$, $p\in(2,p_0)$, in the class of manifold whose measure is doubling and for which the scaled Poincaré inequalities hold. Here, $H^p$ is a Hardy space of exact $1-$forms, naturally associated with the Riesz transform.

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BibTeX RIS

Baptiste Devyver. 2013-08-27. Hardy spaces and heat kernel regularity. https://arxiv.org/abs/1308.5871

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