Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5024644 | Nonlinear Analysis: Theory, Methods & Applications | 2017 | 21 Pages |
Abstract
We investigate the possibility of improving the p-Poincaré inequality ââHNuâppâ¥Îpâuâpp on the hyperbolic space, where p>1 and Îp:=[(Nâ1)/p]p is the best constant for which such inequality holds. We prove several different, and independent, improved inequalities, one of which is a Poincaré-Hardy inequality, namely an improvement of the best p-Poincaré inequality in terms of the Hardy weight râp, r being geodesic distance from a given pole. Certain Hardy-Maz'ya-type inequalities in the Euclidean half-space are also obtained.
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Authors
Elvise Berchio, Lorenzo D'Ambrosio, Debdip Ganguly, Gabriele Grillo,