2 papers
math.AP2021
Intrinsic ultracontractivity for domains in negatively curved manifolds
Hiroaki Aikawa, Michiel van den Berg, Jun Masamune
Let be a complete, non-compact, connected Riemannian manifold with Ricci curvature bounded from below by a negative constant. A sufficient condition is obtained for open and co…
math.AP2016
Dichotomy of global capacity density in metric measure spaces
Hiroaki Aikawa, Anders Björn, Jana Björn +1
The variational capacity cap_p in Euclidean spaces is known to enjoy the density dichotomy at large scales, namely that for every subset E of R^n, inf_{x in R^n} (cap_p(E \cap B(x,…