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<p>We obtain sharp estimates for heat kernels and Green’s functions on complete noncompact Riemannian manifolds with Euclidean volume growth and nonnegative Ricci curvature. We will then apply these estimates to obtain sharp Moser-Trudinger inequalities on such manifolds.</p>

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Sharp Estimates and Inequalities on Riemannian Manifolds with Euclidean Volume Growth

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年3月31日

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  • Luigi Fontana,
  • Carlo Morpurgo,
  • Liuyu Qin

摘要

We obtain sharp estimates for heat kernels and Green’s functions on complete noncompact Riemannian manifolds with Euclidean volume growth and nonnegative Ricci curvature. We will then apply these estimates to obtain sharp Moser-Trudinger inequalities on such manifolds.