ON THE L-infinity x L-infinity -> BMO MAPPING PROPERTY FOR CERTAIN BILINEAR PSEUDODIFFERENTIAL OPERATORS

摘要

Boundedness from L-infinity x L-infinity into BMO is proved for bilinear pseudodifferential operators with symbols in a range of bilinear Hormander classes of critical order. This is achieved by means of new continuity results for bilinear operators with symbols in certain classes and a new pointwise inequality relating bilinear operators and maximal functions.