# Commutators of Bilinear Pseudodifferential Operators and Lipschitz Functions

Research paper by Árpád Bényi, Virginia Naibo

Indexed on: 28 Dec '16Published on: 07 Dec '16Published in: Journal of Fourier Analysis and Applications

#### Abstract

Abstract Commutators of bilinear pseudodifferential operators and the operation of multiplication by a Lipschitz function are studied. The bilinear symbols of the pseudodifferential operators considered belong to classes that are shown to properly contain certain bilinear Hörmander classes of symbols of order one. The corresponding commutators are proved to be bilinear Calderón–Zygmund operators.AbstractCommutators of bilinear pseudodifferential operators and the operation of multiplication by a Lipschitz function are studied. The bilinear symbols of the pseudodifferential operators considered belong to classes that are shown to properly contain certain bilinear Hörmander classes of symbols of order one. The corresponding commutators are proved to be bilinear Calderón–Zygmund operators.