Riesz transforms on connected sums

Gilles Carron (1)

1 LMJL - Laboratoire de Mathématiques Jean Leray

We investigate the boundness of the Riesz transform on $L^p$ for connected sum of manifolds where the Riesz transform is bounded on $L^p$.

Mots clés: Riesz transform; sobolev inequality; Poisson kernel

Domaines: Equations aux dérivées partielles [math.AP]; Géométrie différentielle [math.DG]

Gilles Carron. Riesz transforms on connected sums. Annales de l'Institut Fourier, 2007, 57 (7), pp.2329-2343. ⟨hal-00018918⟩