Smoothing of commutators for a H\"ormander class of bilinear pseudodifferential operators
Abstract
Commutators of bilinear pseudodifferential operators with symbols in the H\"ormander class BS1, 01 and multiplication by Lipschitz functions are shown to be bilinear Calder\'on-Zygmund operators. A connection with a notion of compactness in the bilinear setting for the iteration of the commutators is also made.
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