On a Class of Bilinear Pseudodifferential Operators

Árpád Bényi; Tadahiro Oh

doi:10.1155/2013/560976

Journal of Function Spaces and Applications (Jan 2013)

On a Class of Bilinear Pseudodifferential Operators

Árpád Bényi,
Tadahiro Oh

Affiliations

Árpád Bényi: Department of Mathematics, Western Washington University, 516 High Street, Bellingham, WA 98225, USA
Tadahiro Oh: Department of Mathematics, Princeton University, Fine Hall, Washington Road, Princeton, NJ 08544-1000, USA

DOI: https://doi.org/10.1155/2013/560976
Journal volume & issue: Vol. 2013

Abstract

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We provide a direct proof for the boundedness of pseudodifferential operators with symbols in the bilinear Hörmander class BS1,δ0, 0≤δ<1. The proof uses a reduction to bilinear elementary symbols and Littlewood-Paley theory.

Published in Journal of Function Spaces and Applications

ISSN: 0972-6802 (Print)
Publisher: Wiley
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: https://onlinelibrary.wiley.com/journal/9303

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