Riesz transform on manifolds and Poincar\'{e} inequalities
classification
🧮 math.DG
math.CA
keywords
inequalitiesinequalitymanifoldspoincarriesztransformwhencomplete
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We study the validity of the $L^p$ inequality for the Riesz transform when $p>2$ and of its reverse inequality when $p<2$ on complete Riemannian manifolds under the doubling property and some Poincar\'e inequalities.
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