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Journal of Function Spaces and Applications
Volume 2013 (2013), Article ID 560976, 5 pages
Research Article

On a Class of Bilinear Pseudodifferential Operators

1Department of Mathematics, Western Washington University, 516 High Street, Bellingham, WA 98225, USA
2Department of Mathematics, Princeton University, Fine Hall, Washington Road, Princeton, NJ 08544-1000, USA

Received 26 September 2012; Accepted 3 December 2012

Academic Editor: Baoxiang Wang

Copyright © 2013 Árpád Bényi and Tadahiro Oh. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We provide a direct proof for the boundedness of pseudodifferential operators with symbols in the bilinear Hörmander class , . The proof uses a reduction to bilinear elementary symbols and Littlewood-Paley theory.