2015 Fiscal Year Final Research Report
Sharp conditions on the boundedness of multilinear operators
| Project/Area Number |
24740088
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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 | Osaka University |
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Principal Investigator |
TOMITA Naohito 大阪大学, 理学(系)研究科(研究院), 准教授 (10437337)
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| Project Period (FY) |
2012-04-01 – 2016-03-31
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| Keywords | 多重線形作用素 / フーリエマルチプライヤー / 擬微分作用素 |
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| Outline of Final Research Achievements |
I studied the boundedness properties of bilinear Fourier multiplier and pseudo-differential operators. To assure the boundedness, the smoothness condition for Fourier multipliers in the sense of Sobolev spaces and the order of pseudo-differential operators were determined. The sharpness of these results was also studied.
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| Free Research Field |
解析学基礎
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