P. Auscher

activity

20012008

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 · 61 across the 9 of their papers we have counts for

collaborators

Showing 2005Show all

2 papers · 1 filter

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.DG2005

Riesz transform on manifolds and Poincaré inequalities

Pascal Auscher, Thierry Coulhon

We study the validity of the $L^{p}$ inequality for the Riesz transform when $p > 2$ and of its reverse inequality when $p < 2$ on complete Riemannian manifolds under the doubling proper…

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 Poincaré inequalities

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