A real analytic study on wavelets and variable exponent analysis
| Project/Area Number |
24540185
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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| Section | 一般 |
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| Research Field |
Basic analysis
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| Research Institution | Okayama University (2014)
Tokyo Denki University (2012-2013) |
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Principal Investigator |
IZUKI Mitsuo 岡山大学, 教育学研究科(研究院), 講師 (80507179)
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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 |
¥5,070,000 (Direct Cost: ¥3,900,000、Indirect Cost: ¥1,170,000)
Fiscal Year 2014: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2013: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2012: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
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| Keywords | 変動指数 / BMO / 変動指数解析 / ウェーブレット / 変動指数Muckenhoupt条件 / BMOノルムの一般化 / 変動指数Herz空間 |
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| Outline of Final Research Achievements |
One of the main results is generalization of the BMO norm using variable exponent. A joint work with Yoshihiro Sawano and Yohei Tsutsui has showed the following: The generalization is possible, provided that a variable exponent guarantees the weak boundedness of the Hardy-Littlewood maximal operator. The second main result is concerning with the study on various function spaces with variable exponents. A joint work with Eiichi Nakai and Yoshihiro Sawano has characterized variable Lebesgue spaces with variable exponent equipped a weight satisfying the variable exponent Muckenhoupt condition. Moreover a joint work with Takahiro Noi has clarified the dual spaces of
Herz, Besov and Triebel-Lizorkin spaces with variable exponents.
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Report
(4 results)
Research Products
(18 results)
