Sharp Poincaré-Hardy and Poincaré-Rellich inequalities on the hyperbolic space

Elvise Berchio, Debdip Ganguly, Gabriele Grillo

We study Hardy-type inequalities associated to the quadratic form of the shifted Laplacian $-{\Delta }_{{\mathbb{H}}^N}-(N-1{)}^2/4$ on the hyperbolic space ${\mathbb{H}}^N$, $(N-1{)}^2/4$ being,…