On some bilinear Fourier multipliers with oscillating factors, II
For s>0, s≠1, bilinear Fourier multipliers of the form ei(∣∣ξ∣∣s+∣∣η∣∣s+∣∣ξ+η∣∣s)σ(ξ,η) are considered, where σ(ξ,η) belongs to the Hörmander class Sm1,0(R2n). A criterion for m to ensure the L∞×L∞→L∞, L1×L∞→L1, and L∞×L1→L1 boundedness of the corresponding bilinear operators is given.
Authors
- Akihiko Miyachi
- Naoto Shida
- Tomoya Kato
- Naohito Tomita (ORCID: https://orcid.org/0000-0003-3540-6134)
Institutions
- Osaka University of Economics (JP)
- Shimane University (JP)
- Tokyo Woman's Christian University (JP)
- Osaka City University (JP)
- Gifu University (JP)
- The University of Osaka (JP)
Publication Details
- Journal
- Studia Mathematica
- Published
- 2025-08-30
- DOI
- https://doi.org/10.4064/sm241227-12-3
- Primary Topic
- Advanced Harmonic Analysis Research
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Japan Society for the Promotion of Science