paper

Hardy type inequalities on manifolds with nonnegative Ricci curvature

arXiv:2402.17253

Abstract

We prove the Heisenberg-Pauli-Weyl inequality, Hardy-Sobolev inequality, and Caffarelli-Kohn-Nirenberg (CKN) inequality on manifolds with nonnegative Ricci curvature and Euclidean volume growth, of dimension n>=3.

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