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PreprintarXiv licencearXiv

A Global Wavefront Set Condition for Defining Bony's Paraproduct Decomposition

  • Josh Mott
  • Tim Van Hoose
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Abstract

We establish a natural generalization of the Hörmander condition for the multiplication of Besov distributions using the global wavefront set framework of Coriasco, Johansson, and Toft. Using this condition, we relate the microlocal perspective on multiplication of distributions to the classical paraproduct decomposition of pointwise multiplication arising in the paradifferential calculus of Bony.

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Cite

BibTeXRIS
BibTeX
@misc{mott2026global,
  title = {{A Global Wavefront Set Condition for Defining Bony's Paraproduct Decomposition}},
  author = {Josh Mott and Tim Van Hoose},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.02152},
  eprint = {2610.02152},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.02152},
}
RIS
TY  - UNPB
TI  - A Global Wavefront Set Condition for Defining Bony's Paraproduct Decomposition
AU  - Josh Mott
AU  - Tim Van Hoose
PY  - 2026
DA  - 2026/10/01
PB  - arXiv
DO  - 10.48550/arxiv.2610.02152
UR  - https://arxiv.org/abs/2610.02152
AB  - We establish a natural generalization of the Hörmander condition for the multiplication of Besov distributions using the global wavefront set framework of Coriasco, Johansson, and Toft. Using this condition, we relate the microlocal perspective on multiplication of distributions to the classical paraproduct decomposition of pointwise multiplication arising in the paradifferential calculus of Bony.
ER  -