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arXiv · 1401.2279

Sub-Gaussian heat kernel estimates and quasi Riesz transforms for $1\leq p\leq 2$

Li Chen
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Abstract

On a complete non-compact Riemannian manifold $M$, we prove that a so-called quasi Riesz transform is always $L^p$ bounded for $1<p\leq 2$. If $M$ satisfies the doubling volume property and the sub-Gaussian heat kernel estimate, we prove that the quasi Riesz transform is also of weak type $(1,1)$.

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Li Chen. 2014-01-10. Sub-Gaussian heat kernel estimates and quasi Riesz transforms for $1\leq p\leq 2$. https://doi.org/10.5565/publmat_59215_03

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