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Article
Smoothing of Commutators for a Hörmander Class of Bilinear Pseudodifferential Operators
Journal of Fourier Analysis and Applications (2014)
  • Árpád Bényi, Western Washington University
  • Tadahiro Oh
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.
Keywords
  • Bilinear pseudodifferential operators,
  • Bilinear Hörmander classes,
  • Compact bilinear operators,
  • Singular integrals,
  • Calderón-Zygmund theory,
  • Commutator
Disciplines
Publication Date
2014
Publisher Statement
© Springer Science+Business Media New York 2013 http://link.springer.com/article/10.1007/s00041-013-9312-3 http://link.springer.com/article/10.1007%2Fs00041-013-9312-3#page-1
Citation Information
Árpád Bényi and Tadahiro Oh. "Smoothing of Commutators for a Hörmander Class of Bilinear Pseudodifferential Operators" Journal of Fourier Analysis and Applications Vol. 20 Iss. 2 (2014)
Available at: http://works.bepress.com/arpad_benyi/7/