84 citations · 85 across the 3 of their papers we have counts for
3 papers
math.MG2009★ 1 cited
Flat forms, bi-Lipschitz parametrizations, and smoothability of manifolds
Juha Heinonen, Stephen Keith
We give a sufficient condition for a metric (homology) manifold to be locally bi-Lipschitz equivalent to an open subset in $\rn$. The condition is a Sobolev condition for a measura…
math.AP2004
The Kato square root problem for mixed boundary value problems
Andreas Axelsson, Stephen Keith, Alan McIntosh
We solve the Kato square root problem for second order elliptic systems in divergence form under mixed boundary conditions on Lipschitz domains. This answers a question posed by J.…
math.SP2004★ 84 cited
Quadratic estimates and functional calculi of perturbed Dirac operators
Andreas Axelsson, Stephen Keith, Alan McIntosh
We prove quadratic estimates for complex perturbations of Dirac-type operators, and thereby show that such operators have a bounded functional calculus. As an application we show t…