Smoothing of commutators for a Hörmander class of bilinear pseudodifferential operators

2013/05/18 by Árpád Bényi, Tadahiro Oh, Bényi, Árpád +1
Mathematics · #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #math.CA

paper · pdf · doi:10.48550/arxiv.1305.4307

16 pages

arxiv created 2013/05/18 · arxiv updated 2013/05/21

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.

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