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Hardy type inequalities on manifolds with nonnegative Ricci curvature

Differential Geometry 2024-03-05 v2 Analysis of PDEs

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.

Keywords

Cite

@article{arxiv.2402.17253,
  title  = {Hardy type inequalities on manifolds with nonnegative Ricci curvature},
  author = {Yuxin Dong and Hezi Lin and Lingen Lu},
  journal= {arXiv preprint arXiv:2402.17253},
  year   = {2024}
}

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