19 citations · 85 across the 35 of their papers we have counts for
4 papers · 1 filter
The -Calderón-Zygmund inequality on non-compact manifolds of positive curvature
Ludovico Marini, Giona Veronelli
We construct, for , a concrete example of a complete non-compact -dimensional Riemannian manifold of positive sectional curvature which does not support any -Calderón-…
Density and non-density of on complete manifolds with curvature bounds
Shouhei Honda, Luciano Mari, Michele Rimoldi +1
We investigate the density of compactly supported smooth functions in the Sobolev space on complete Riemannian manifolds. In the first part of the paper, we extend to the…
Local Riesz transform and local Hardy spaces on Riemannian manifolds with bounded geometry
Stefano Meda, Giona Veronelli
We prove that if is a large positive number, then the atomic Goldberg-type space and the space of all integrable function…
Sobolev functions without compactly supported approximations
Giona Veronelli
A basilar property and a useful tool in the theory of Sobolev spaces is the density of smooth compactly supported functions in the space (i.e. the functions with we…