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A note on Riesz potentials and the first eigenvalue


Author: Jie Cheng Chen
Journal: Proc. Amer. Math. Soc. 117 (1993), 683-685
MSC: Primary 58G11; Secondary 35P15, 46E35, 58G25
DOI: https://doi.org/10.1090/S0002-9939-1993-1110540-4
MathSciNet review: 1110540
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Abstract: In this paper, we consider the boundedness of Riesz potentials on positively curved manifolds. As an application, we get the greatest lower bound of the essential spectrum of a positively curved manifold.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1993-1110540-4
Keywords: Riesz potential, the first eigenvalue, positively curved manifold
Article copyright: © Copyright 1993 American Mathematical Society

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