Applications to mathematics in general of harmonic analysis
Project/Area Number |
21740104
|
Research Category |
Grant-in-Aid for Young Scientists (B)
|
Allocation Type | Single-year Grants |
Research Field |
Basic analysis
|
Research Institution | Kyoto University |
Principal Investigator |
|
Project Period (FY) |
2009 – 2011
|
Project Status |
Completed (Fiscal Year 2011)
|
Budget Amount *help |
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2011: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2010: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2009: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
|
Keywords | 関数空間 / 再生核 / 分数べき積分作用素 / 変動指数 / アトム分解 / 再生核ヒルベルト空間 / 時間周波数解析 / フーリエ解析 / Sobolevの埋め込み定理 / 楕円型微分方程式 / 測度空間 |
Research Abstract |
I worked on the following projects. 1. Multilinear estimates of fractional integral operators on Morrey spaces and its applications to PDE 2. Hardy spaces with variable exponents 3. Axiomatic analysis on Besov spaces 4. Writing a book in English on reproducing kernel Hilbert spaces. 5. Publishing a book in Japanese on Besov spaces
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Report
(4 results)
Research Products
(52 results)