| Abstrakt: |
We study the Littlewood–Paley–Stein functions associated with Hodge-de Rham and Schrödinger operators on Riemannian manifolds. Under conditions on the Ricci curvature, we prove their boundedness on L p for p in some interval (p 1 , 2 ] and make a link to the Riesz Transform. An important fact is that we do not make assumptions of doubling measure or estimates on the heat kernel in this case. For p > 2 , we give a criterion to obtain the boundedness of the vertical Littlewood–Paley–Stein function associated with Schrödinger operators on L p . [ABSTRACT FROM AUTHOR] |
Full text from SpringerLink