Smoothing of commutators for a Hörmander class of bilinear pseudodifferential operators

Abstract

Commutators of bilinear pseudodifferential operators with symbols in the Hörmander class BS_{1, 0}^1 and multiplication by Lipschitz functions are shown to be bilinear Calderón-Zygmund operators. A connection with a notion of compactness in the bilinear setting for the iteration of the commutators is also made.

arXiv comment16 pages

References in corpus (2)

• End-point estimates for iterated commutators of multilinear singular integrals
• On the Hörmander classes of bilinear pseudodifferential operators II