2013 Fiscal Year Final Research Report
Multilinear Operators in Harmonic Analysis
| Project/Area Number |
23540182
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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 | Yamagata University |
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Principal Investigator |
SATO Enji 山形大学, 理学部, 教授 (80107177)
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| Co-Investigator(Kenkyū-buntansha) |
FURUYA Yasuo 東海大学, 理学部, 教授 (70234903)
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| Co-Investigator(Renkei-kenkyūsha) |
KNJIN Yuichi 金沢大学, 機械工学系, 教授 (50091674)
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| Project Period (FY) |
2011 – 2013
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| Keywords | モレー空間 / 分数冪積分作用素 / 重み関数 / フーリエマルチプライヤー / 多重線形作用素 |
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| Research Abstract |
Study in harmonic analysis is important for partial differential equations. Especially, study of singular integral operators and fractional integral operators are useful for differential equations, and we study the boundedness of those operators in some function spaces. In this plan, we got the boundedness of multilinear fractional integral operators in weighted Morrey spaces, which are gereralization whose results were already known and those results are accepted in the journal. Also we obtained some properties of Fourier multipliers and the predual in Morrey spaces, and those resuklts are accepted in the two journals.
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