Function spaces with variable exponent
| Project/Area Number |
20540167
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Basic analysis
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| Research Institution | Ibaraki University (2011)
Osaka Kyoiku University (2008-2010) |
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Principal Investigator |
NAKAI Eiichi 茨城大学, 理学部, 教授 (60259900)
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| Co-Investigator(Kenkyū-buntansha) |
MIZUTA Yoshihiro 広島工業大学, 工学部, 教授 (00093815)
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| Research Collaborator |
SADASUE Gaku 大阪教育大学, 教育学部, 准教授 (40324884)
SAWANO Yoshihiro 京都大学, 理学研究科, 助教 (40532635)
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| Project Period (FY) |
2008 – 2011
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| Project Status |
Completed (Fiscal Year 2011)
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| Budget Amount *help |
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2011: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2010: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2009: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2008: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
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| Keywords | 変動指数 / 関数空間 / 分数べき積分 / Lipschitz空間 / Hardy空間 / Campanato空間 / Morrey空間 / Orlicz空間 / 実解析 / 調和解析 / フーリエ解析 |
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| Research Abstract |
To establish the theory of function spaces with variable exponent, based on the study of Lebesgue spaces with variable exponent we have investigated Hardy spaces with variable exponent, generalized Campanato spaces with variable growth condition and their related function spaces. We have found a suitable definition of these function spaces and establish the theory by studying behaviour of integral operators on them.
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Report
(6 results)
Research Products
(101 results)
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[Presentation] B^{sigma}-spaces and integral operators2011
Author(s)
Yasuo Komori-Furuya, Katsuo Matsuoka, Eiichi Nakai and Yoshihiro Sawano
Organizer
8th International Conference on Function Spaces, Differential Operators, Nonlinear Analysis
Place of Presentation
Tabarz, Germany
Year and Date
2011-09-20
Related Report
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[Presentation] $B^{\sigma}$-spaces and integral operators2011
Author(s)
Yasuo Komori-Furuya, Katsuo Matsuoka, Eiichi Nakai, Yoshihiro Sawano
Organizer
8th International Conference on Function Spaces, Differential Operators, Nonlinear Analysis
Place of Presentation
Tabarz (Germany)
Year and Date
2011-09-20
Related Report
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