Adams Inequality on Pinched Hadamard Manifolds

2018/09/04 by Jérôme Bertrand, Bertrand, Jerome, Kunnath Sandeep +1 · 1 citation
Mathematics · #Advanced Harmonic Analysis Research #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations #Point processes and geometric inequalities

paper · pdf · doi:10.48550/arxiv.1809.00879

openalex publication_date 2018/09/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this article we prove the Adams type inequality for W^m,p(M) functions, where m is a positive integer less than n and (M,g) is a Hadamard manifold with Ricci curvature bounded from below and sectional curvature bounded from above by a negative constant.

Citations

• On a version of Trudinger-Moser inequality with Möbius shift invariance

Cited by

• The Leray--Adams inequality

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