Smoothing of commutators for a H\"ormander class of bilinear pseudodifferential operators
Classical Analysis and ODEs
2013-05-21 v1
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.
Keywords
Cite
@article{arxiv.1305.4307,
title = {Smoothing of commutators for a H\"ormander class of bilinear pseudodifferential operators},
author = {Árpád Bényi and Tadahiro Oh},
journal= {arXiv preprint arXiv:1305.4307},
year = {2013}
}
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16 pages