Document Type
Article
Publication Date
2014
Keywords
Bilinear pseudodifferential operators, Bilinear Hörmander classes, Compact bilinear operators, Calderón-Zygmund theory, Commutators
Abstract
Commutators of bilinear pseudodifferential operators with symbols in the Hörmander class BS11,0 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.
Publication Title
Journal of Fourier Analysis and Applications
Volume
20
Issue
2
First Page
282
Last Page
300
DOI
http://dx.doi.org/10.1007/s00041-013-9312-3
Required Publisher's Statement
The final publication is available at Springer via http://dx.doi.org/10.1007/s00041-013-9312-3
Recommended Citation
Bényi, Árpád and Oh, Tadahiro, "Smoothing of Commutators for a Hörmander Class of Bilinear Pseudodifferential Operators" (2014). Mathematics Faculty Publications. 43.
https://cedar.wwu.edu/math_facpubs/43
Subjects - Topical (LCSH)
Pseudodifferential operators; Compact operators; Calderón-Zygmund operator; Bilinear transformation method; Commutators (Operator theory); Singular integrals
Genre/Form
articles
Type
Text
Rights
Copying of this document in whole or in part is allowable only for scholarly purposes. It is understood, however, that any copying or publication of this document for commercial purposes, or for financial gain, shall not be allowed without the author’s written permission.
Language
English
Format
application/pdf
