컨텐츠 시작
학술대회/행사
초록검색
| 제출번호(No.) | 0567 |
|---|---|
| 분류(Section) | Invited Talk |
| 분과(Session) | Analysis (real / complex / harmonic analysis) (SS-08) |
| 영문제목 (Title(Eng.)) |
Convergence of Bochner-Riesz means in Lebesgue spaces |
| 저자(Author(s)) |
Sanghyuk Lee1 Seoul National Univeristy1 |
| 초록본문(Abstract) | One of most fundamental questions in harmonic analysis is the convergence of Fourier series and Fourier integrals in Lebesgue spaces. Riesz and Bochner-Riesz means were intended to answer this question. Even though the convergence of these means is well established in one and two dimensions, it remains open in higher dimensions. As it turned out, the question is closely related to other important problems such as Fourier restriction conjectures, and regularity properties of wave and Schrodinger equations, and the progress has been paralleled with that of these related problems. In this talk we present recent developments on Bochner-Riesz and restriction conjectures, and the related problems. |
| 분류기호 (MSC number(s)) |
42B15 |
| 키워드(Keyword(s)) | Lebesgu space, Bochn-Riesz means |
| 강연 형태 (Language of Session (Talk)) |
English |