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arXiv · 1305.4307

Smoothing of commutators for a H\"ormander class of bilinear pseudodifferential operators

Árpád Bényi·Tadahiro Oh
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Abstract

Commutators of bilinear pseudodifferential operators with symbols in the H\"ormander class BS_{1, 0}^1 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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Árpád Bényi, Tadahiro Oh. 2013-05-18. Smoothing of commutators for a H\"ormander class of bilinear pseudodifferential operators. https://arxiv.org/abs/1305.4307

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