Pascal Auscher

most citedOn necessary and sufficient conditions for

L^{p}

-estimates of Riesz transforms associated to elliptic operators on $\RR^n$ and related estimates

57 citations · 57 across the 2 of their papers we have counts for

collaborators

2 papers

math.CA2005★ 57 cited

On necessary and sufficient conditions for $L^{p}$ -estimates of Riesz transforms associated to elliptic operators on $\RR^n$ and related estimates

Pascal Auscher

This article focuses on $L^{p}$ estimates for objects associated to elliptic operators in divergence form: its semigroup, the gradient of the semigroup, functional calculus, square f…

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…

On necessary and sufficient conditions for Lp-estimates of Riesz transforms associated to elliptic operators on $\RR^n$ and related estimates

Riesz transform on manifolds and heat kernel regularity

On necessary and sufficient conditions for $L^{p}$ -estimates of Riesz transforms associated to elliptic operators on $\RR^n$ and related estimates