2 citations · 2 across the 2 of their papers we have counts for
3 papers
math.AP2004
Riesz transform on manifolds and heat kernel regularity
Pascal Auscher, Thierry Coulhon, Xuan Thinh Duong +1
One considers the class of complete non-compact Riemannian manifolds whose heat kernel satisfies Gaussian estimates from above and below. One shows that the Riesz transform is $L^p…
math.CA2003★ 2 cited
Falconer conjecture in the plane for random metrics
S. Hofmann, A. Iosevich
We prove the following variant of the Falconer conjecture in the plane. If the dimension of a compact planar set is greater than one, then the distance set with respect to almost e…
math.CA2001
Carleson measures, trees, extrapolation, and theorems
Pascal Auscher, Steve Hofmann, Camil Muscalu +2
The theory of Carleson measures, stopping time arguments, and atomic decompositions has been well-established in harmonic analysis. More recent is the theory of phase space analysi…