Investigating the stability of the inverse Brascamp-Lieb inequality

• Project/Area Number: 23K25777
• Project/Area Number (Other): 23H01080 (2023)
• Research Category: Grant-in-Aid for Scientific Research (B)
• Allocation Type: Multi-year Fund (2024); Single-year Grants (2023)
• Section: 一般
• Review Section: Basic Section 12020:Mathematical analysis-related
• Research Institution: Saitama University
• Principal Investigator: BEZ NEAL 埼玉大学, 理工学研究科, 教授 (30729843)
• Co-Investigator(Kenkyū-buntansha): 中村 昌平 大阪大学, 大学院理学研究科, 助教 (30896121)
• Project Period (FY): 2023-04-01 – 2027-03-31
• Project Status: Granted (Fiscal Year 2024)
• Budget Amount: ¥10,530,000 (Direct Cost: ¥8,100,000、Indirect Cost: ¥2,430,000); Fiscal Year 2026: ¥2,470,000 (Direct Cost: ¥1,900,000、Indirect Cost: ¥570,000); Fiscal Year 2025: ¥2,470,000 (Direct Cost: ¥1,900,000、Indirect Cost: ¥570,000); Fiscal Year 2024: ¥2,210,000 (Direct Cost: ¥1,700,000、Indirect Cost: ¥510,000); Fiscal Year 2023: ¥3,380,000 (Direct Cost: ¥2,600,000、Indirect Cost: ¥780,000)
• Keywords: Brascamp-Lieb inequality / Stability / Inverse Brascamp-Lieb

Outline of Research at the Start

This project will investigate stability of the inverse Brascamp-Lieb inequality from various perspectives. In particular, the regularity of the inverse Brascamp-Lieb constant will be investigated, and it is expected that this will play an important role in our study of nonlinear versions of the inverse Brascamp-Lieb inequality.