Commutators of bilinear pseudodifferential operators with symbols in the Hörmander class BS11,0 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.
Journal of Fourier Analysis and Applications
Required Publisher's Statement
The final publication is available at Springer via http://dx.doi.org/10.1007/s00041-013-9312-3
Bényi, Árpád and Oh, Tadahiro, "Smoothing of Commutators for a Hörmander Class of Bilinear Pseudodifferential Operators" (2014). Mathematics. Paper 43.