3 papers
math.AP2019
Riesz transforms on a class of non-doubling manifolds II
Andrew Hassell, Daniel Nix, Adam Sikora
We consider a class of manifolds obtained by taking the connected sum of a finite number of -dimensional Riemannian manifolds of the form $(\mathbb{R}^{n_i}, δ) \t…
math.AP2013
Exterior mass estimates and restriction bounds for Neumann data along hypersurfaces
Hans Christianson, Andrew Hassell, John A. Toth
We study the problem of estimating the norm of Laplace eigenfunctions on a compact Riemannian manifold when restricted to a hypersurface . We prove mass estimates for…
math.AP2004
Riesz transform and cohomology for manifolds with Euclidean ends
Gilles Carron, Thierry Coulhon, Andrew Hassell
Let be a smooth Riemannian manifold which is the union of a compact part and a finite number of Euclidean ends, $\RR^n \setminus B(0,R)$ for some , each of which carries…