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Riesz transforms on a class of non-doubling manifolds

Riesz transforms on a class of non-doubling manifolds

We consider a class of manifolds M obtained by taking the connected sum of a finite number of N-dimensional Riemannian manifolds of the form (Rni,δ)×(Mi,g), where Mi is a compact manifold, with the product metric. The case of greatest interest is when the Euclidean dimensions ni are not all equal. …