Applications of harmonic analysis to mathematics in general
| Project/Area Number |
24740085
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Multi-year Fund |
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| Research Field |
Basic analysis
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| Research Institution | Tokyo Metropolitan University |
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Principal Investigator |
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| Project Period (FY) |
2012-04-01 – 2015-03-31
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| Project Status |
Completed (Fiscal Year 2014)
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| Budget Amount *help |
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2014: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2013: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2012: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
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| Keywords | 関数空間 / 再生核 / 積分作用素 / 国際研究者交流 / 国際情報交換 / Besov空間 / Morrey空間 / アトム分解 / 作用素の有界性 / 変動指数ルベーグ空間 / 逆写像 / バナッハ関数空間 / Triebel-Lizorkin空間 / モレー空間 / 中国 / ドイツ / カザフスタン |
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| Outline of Final Research Achievements |
We summarize what we obtained in the present research. 1. I proposed many types
of atomic decompositions in many function spaces. 2. I proved a fundamenatal theorem which was folklore. The proof can not be found elsewhere in the literature. 3. I investigated Morrey spaces and related function spaces. 4. I tried to express the Dirac delta in terms of the reproducing kernel Hilbert spaces.
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Report
(4 results)
Research Products
(27 results)
