The endpoint eigenfunction bound for the Hermite operator in two dimensions
강병찬
27동 116호
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08.01 01:53
| 구분 | 조화해석학 |
|---|---|
| 일정 | 2026-10-27(화) 16:00~18:00 |
| 세미나실 | 27동 116호 |
| 강연자 | 정은희 외 (전북대학교 외) |
| 담당교수 | 이상혁 |
| 기타 |
일시: 10월 27일 (화) 16:00-18:00
장소: 27동 116호
강연자: 정은희 (전북대학교), 유재현 (이화여자대학교)
제목: The endpoint eigenfunction bound for the Hermite operator in two dimensions
초록: In this talk, we begin with an introduction to the Hermite operator, its spectral projections, and the problem of optimal eigenfunction bounds. We then present the optimal endpoint estimate for the Hermite spectral projection operator in two dimensions. The corresponding endpoint estimates in higher dimensions were recently established, and our result, together with earlier work, completes the picture of optimal eigenfunction bounds in all dimensions. Finally, we outline the main ideas of the proof, explaining how a multiscale decomposition in space and time relative to the degeneracy set, an asymmetric refinement on the input side, and almost orthogonality allow us to overcome the limitations of our previous approach.
