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paper

Smoothing of commutators for a Hörmander class of bilinear pseudodifferential operators

arXiv:1305.4307

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.

16 pages