Sharp Green’s Function Estimates on Hadamard Manifolds and Adams Inequality

Bertrand, Jerome ; Sandeep, Kunnath (2020) Sharp Green’s Function Estimates on Hadamard Manifolds and Adams Inequality International Mathematics Research Notices, 2021 (6). pp. 4729-4767. ISSN 1073-7928

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Official URL: http://doi.org/10.1093/imrn/rnaa216

Related URL: http://dx.doi.org/10.1093/imrn/rnaa216

Abstract

In this article, we establish estimates on Riesz-type kernels and prove the Adams-type inequality for Wk,p(M) functions, where (M,g) is an n-dimensional Hadamard manifold with sectional curvature bounded from below and above by a negative constant and k is an integer satisfying kp=n⁠.

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ID Code:121223
Deposited On:13 Jul 2021 06:01
Last Modified:13 Jul 2021 06:01

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