most citedRestriction estimates, sharp spectral multipliers and endpoint estimates for Bochner-Riesz means

11 citations · 15 across the 3 of their papers we have counts for

collaborators

3 papers

math.AP2014★ 4 cited

Riesz transforms on non-compact manifolds

Peng Chen, Jocelyn Magniez, El Maati Ouhabaz

Let be a complete non-compact Riemannian manifold satisfying the doubling volume property as well as a Gaussian upper bound for the corresponding heat kernel. We study the boun…

math.AP2014

Weighted restriction type estimates for grushin operators and application to spectral multipliers and bochner-riesz summability

Peng Chen, El Maati Ouhabaz

We prove weighted restriction type estimates for Grushin operators. These estimates are then used to prove sharp spectral multiplier theorems as well as Bochner-Riesz summability r…

math.AP2012★ 11 cited

Restriction estimates, sharp spectral multipliers and endpoint estimates for Bochner-Riesz means

Peng Chen, El Maati Ouhabaz, Adam Sikora +1

We consider abstract non-negative self-adjoint operators on which satisfy the finite speed propagation property for the corresponding wave equation. For such operators we…