Boundedness of the Riesz potential on a complete manifold with nonnegative Ricci curvature

Li, Jiayu

doi:10.1090/S0002-9939-1993-1185268-5

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Boundedness of the Riesz potential on a complete manifold with nonnegative Ricci curvature
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Proc. Amer. Math. Soc. 118 (1993), 1075-1077 Request permission

Abstract:

In this paper we obtain a necessary and sufficient condition for the boundedness of the Riesz potential on a complete manifold with nonnegative Ricci curvature.

References

Jiayu Li, Gradient estimate for the heat kernel of a complete Riemannian manifold and its applications, J. Funct. Anal. 97 (1991), no. 2, 293–310. MR 1111183, DOI 10.1016/0022-1236(91)90003-N
Peter Li and Shing-Tung Yau, On the parabolic kernel of the Schrödinger operator, Acta Math. 156 (1986), no. 3-4, 153–201. MR 834612, DOI 10.1007/BF02399203