We prove R-bisectoriality and boundedness of the (Formula presented.)-functional calculus in (Formula presented.) for all (Formula presented.) for the Hodge–Dirac operator associated with Witten Laplacians on complete Riemannian manifolds with non-negative Bakry–Emery Ricci curvature on k-forms.AnalysisApplied Probabilit
Let M be a compact Riemannian manifold and h a smooth func-tion on M. Let ρh(x) = inf |v|=1 (Ricx(v...
The connection between quadratic estimates and the existence of a bounded holomorphic functional cal...
We consider a complete non-compact Riemannian manifold satisfying the volume doubling property and a...
We study the boundedness of the H∞ functional calculus for differential operators acting in L p(Rn; ...
We study the Littlewood-Paley-Stein functions associated with Hodge-de Rham and Schrödinger operator...
In this paper we consider a complete connected noncompact Riemannian manifold M with Ricci curvature...
Let L = ∆ + V be a Schrödinger operator with a non-negative potential V on a complete Riemannian man...
Let $M$ be a complete non-compact Riemannian manifold satisfying the doubling volume property. Let $...
Abstract. Let A be a 0-sectorial operator with a bounded H∞(Σσ)-calculus for some σ ∈ (0, pi), e.g. ...
International audienceThis paper concerns Hodge-Dirac operators DH=d+δ acting in Lp(Ω,Λ) where Ω is ...
Abstract. We make some remarks on earlier works on R−bisectoriality in Lp of perturbed first order d...
Cette thèse comporte deux sujets d’étude mêlés. Le premier concerne l’étude de la bornitude sur Lp d...
We address some fundamental questions about geometric analysis on Riemannian manifolds. The L^p-Cald...
We prove quadratic estimates for complex perturbations of Dirac-type operators, and thereby show tha...
We study the heat equation $\frac{\partial u}{\partial t}-\Delta u=0,\ u(x,0)=\omega (x),$ where $\D...
Let M be a compact Riemannian manifold and h a smooth func-tion on M. Let ρh(x) = inf |v|=1 (Ricx(v...
The connection between quadratic estimates and the existence of a bounded holomorphic functional cal...
We consider a complete non-compact Riemannian manifold satisfying the volume doubling property and a...
We study the boundedness of the H∞ functional calculus for differential operators acting in L p(Rn; ...
We study the Littlewood-Paley-Stein functions associated with Hodge-de Rham and Schrödinger operator...
In this paper we consider a complete connected noncompact Riemannian manifold M with Ricci curvature...
Let L = ∆ + V be a Schrödinger operator with a non-negative potential V on a complete Riemannian man...
Let $M$ be a complete non-compact Riemannian manifold satisfying the doubling volume property. Let $...
Abstract. Let A be a 0-sectorial operator with a bounded H∞(Σσ)-calculus for some σ ∈ (0, pi), e.g. ...
International audienceThis paper concerns Hodge-Dirac operators DH=d+δ acting in Lp(Ω,Λ) where Ω is ...
Abstract. We make some remarks on earlier works on R−bisectoriality in Lp of perturbed first order d...
Cette thèse comporte deux sujets d’étude mêlés. Le premier concerne l’étude de la bornitude sur Lp d...
We address some fundamental questions about geometric analysis on Riemannian manifolds. The L^p-Cald...
We prove quadratic estimates for complex perturbations of Dirac-type operators, and thereby show tha...
We study the heat equation $\frac{\partial u}{\partial t}-\Delta u=0,\ u(x,0)=\omega (x),$ where $\D...
Let M be a compact Riemannian manifold and h a smooth func-tion on M. Let ρh(x) = inf |v|=1 (Ricx(v...
The connection between quadratic estimates and the existence of a bounded holomorphic functional cal...
We consider a complete non-compact Riemannian manifold satisfying the volume doubling property and a...