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

被引：7
|
作者：
Bertrand, Jerome [1 ]
Sandeep, Kunnath [2 ]
机构：
[1] Univ Toulouse III, Inst Math Toulouse, UMR CNRS 5219, Toulouse 9, France
[2] TIFR Ctr Applicable Math, Post Bag 6503, Bangalore 560065, Karnataka, India
来源：
INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2021年 / 2021卷 / 06期
关键词：
D O I：
10.1093/imrn/rnaa216
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article, we establish estimates on Riesz-type kernels and prove the Adams-type inequality for W-k,W-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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页码：4729 / 4767
页数：39
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