Published Paper

Inserted: 8 jan 2002
Last Updated: 18 dec 2002

Journal: Nonlinear Analysis
Volume: 49
Pages: 513-523
Year: 2002

Abstract:

We are dealing with a question as to whether singular integrals, combined with elementary interpolation arguments, can be used to establish $L^p$-bounds for nonlinear PDEs. Among other things we give new estimates for nonlinear commutators of the Riesz transforms, which supersede the usual method of reverse Hölder inequalities.