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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| Project Status |
Completed (Fiscal Year 2015)
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| Budget Amount *help |
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2015: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2014: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2013: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2012: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
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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 / flag paraproduct |
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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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Report
(5 results)
Research Products
(20 results)
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[Presentation] Flag paraproducts on Hardy spaces2014
Author(s)
N. Tomita
Organizer
2nd East Asian Conference in Harmonic Analysis and Applications
Place of Presentation
Mudanjiang Normal University (Mudanjiang, China)
Year and Date
2014-07-11 – 2014-07-14
Related Report
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