| Project/Area Number |
23540228
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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 | Kwansei Gakuin University |
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Principal Investigator |
YABUTA KOZO 関西学院大学, 数理科学研究センター, 客員研究員 (30004435)
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| Co-Investigator(Kenkyū-buntansha) |
KITAHARA KAZUAKI 関西学院大学, 理工学部, 教授 (40195277)
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| Co-Investigator(Renkei-kenkyūsha) |
SATO SHUUICHI 金沢大学, 人間社会研究域学校教育系, 准教授 (20162430)
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| Project Period (FY) |
2011-04-28 – 2016-03-31
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| Project Status |
Completed (Fiscal Year 2015)
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| Budget Amount *help |
¥3,250,000 (Direct Cost: ¥2,500,000、Indirect Cost: ¥750,000)
Fiscal Year 2014: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2013: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2012: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2011: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
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| Keywords | 調和解析 / フーリエ解析 / 実解析 / 函数解析 / 実函数論 / 函数解析学 / 特異積分 / 関数解析学 / 解析学 / 近似論 |
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| Outline of Final Research Achievements |
For singular integrals with kernel associated to the surface of the form {x=Ψ(|y|)} etc, we obtained several good estimates not only in Lp but also in Triebel-Lizorkin spaces.
we published 14 results for singular integrals with rough kernel, vector space valued singular integrals and multilinear singular integrals. These contribute to the development of the study of singular integrals.
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