On a Class of Bilinear Pseudodifferential Operators

Arpad Benyi*, Tadahiro Oh

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

We provide a direct proof for the boundedness of pseudodifferential operators with symbols in the bilinear H\"ormander class $BS_{1, \delta}^0$, $0\leq \delta<1$. The proof uses a reduction to bilinear elementary symbols and Littlewood-Paley theory.

Original languageEnglish
Article number560976
Number of pages5
JournalJournal of function spaces and applications
Volume2013
DOIs
Publication statusPublished - 2013

Keywords

  • Bilinear pseudodifferential operators
  • bilinear Hormander classes
  • symbolic calculus
  • bilinear elementary symbols
  • Littlewood-Paley theory
  • Calderon-Zygmund theory

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