컨텐츠 시작
학술대회/행사
초록검색
| 제출번호(No.) | 0260 |
|---|---|
| 분류(Section) | Invited Lecture |
| 분과(Session) | (AN) Analysis (AN) |
| 발표시간(Time) | 19th-O-15:30 -- 16:10 |
| 영문제목 (Title(Eng.)) |
Sobolev regularity estimates for restricted X-ray transforms |
| 저자(Author(s)) |
Hyerim Ko1, Sanghyuk Lee2, Sewook Oh3 Research Institute of Mathematics at Seoul National University1, Seoul National University2, KIAS3 |
| 초록본문(Abstract) | In this talk, we consider the regularity property of a restricted X-ray transform. We prove sharp $L^p$ Sobolev regularity estimates for restricted X-ray transforms in all dimensions, which extends the result of Pramanik-Seeger in $\mathbb R^3$. This is achieved by constructing inductive argument and making use of the decoupling inequality for curves. This is joint work with Sanghyuk Lee and Sewook Oh. |
| 분류기호 (MSC number(s)) |
42B25 |
| 키워드(Keyword(s)) | L^p-Sobolev regularity, restricted X-ray transform |
| 강연 형태 (Language of Session (Talk)) |
Korean |