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

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In this article, we establish estimates on Riesz-type kernels and prove the Adams-type inequality for $W^{k,p}(M)$ functions, where $(M,g)$ is an $n$-dimensional Hadamard manifold with sectional curvature bounded from below… Click to show full abstract

In this article, we establish estimates on Riesz-type kernels and prove the Adams-type inequality for $W^{k,p}(M)$ 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 $kp=n$.

Keywords: estimates hadamard; green function; hadamard manifolds; function estimates; inequality; sharp green

Journal Title: International Mathematics Research Notices
Year Published: 2020

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