Riesz Transform and L^P-Cohomology for Manifolds with Euclidean Ends
Let M be a smooth Riemannian manifold that is the union of a compact part and a finite number of Euclidean ends, ℝn\B(0, R) for some R > 0, each of which carries the standard metric. Our main result is that the Riesz transform on M is bounded from LP(M)
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|Source:||Duke Mathematical Journal|
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