Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8904709 | Advances in Mathematics | 2018 | 36 Pages |
Abstract
The main purpose of this paper is to use a substantially new method of estimating the Hardy operator to establish the sharp Hardy-Adams inequalities on hyperbolic spaces Bn for all even dimension n and nâ¥4. As applications of such inequalities, we will improve substantially the known Adams inequalities on hyperbolic space Bn in the literature and also strengthen the classical Adams' inequality and the Hardy inequality on Euclidean balls in any even dimension. The later inequality can be viewed as the borderline case of the sharp Hardy-Sobolev-Maz'ya inequalities for higher order derivatives in high dimensions obtained recently by the second and third authors [41].
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Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Jungang Li, Guozhen Lu, Qiaohua Yang,