A stationary set method for estimating oscillatory integrals
We propose a new method of estimating oscillatory integrals, which we call a “stationary set” method. We use it to obtain the sharp convergence exponents of Tarry’s problems in dimension two for every degree k\ge 2 . As a consequence, we obtain sharp L^{\infty} \to L^{p} Fourier extension estimates for a family of monomial surfaces.
Authors
- Shaoming Guo (ORCID: https://orcid.org/0000-0001-7673-1676)
- Pavel Zorin‐Kranich (ORCID: https://orcid.org/0000-0002-2153-7689)
- Saugata Basu (ORCID: https://orcid.org/0000-0002-2441-0915)
- Ruixiang Zhang (ORCID: https://orcid.org/0000-0001-5307-436X)
Institutions
- University of Bonn (DE)
- University of Wisconsin–Madison (US)
- Nankai University (CN)
- Purdue University West Lafayette (US)
- University of California, Berkeley (US)
Publication Details
- Journal
- Journal of the European Mathematical Society
- Published
- 2024-08-16
- DOI
- https://doi.org/10.4171/jems/1506
- Citations
- 3
- Primary Topic
- Advanced Harmonic Analysis Research
- Type
- article
- Field-Weighted Citation Impact
- 0.00