| Project/Area Number |
20540195
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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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 Kwansei Gakuin University, 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) |
2008 – 2010
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| Project Status |
Completed (Fiscal Year 2010)
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| Budget Amount *help |
¥2,210,000 (Direct Cost: ¥1,700,000、Indirect Cost: ¥510,000)
Fiscal Year 2010: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2009: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2008: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
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| Keywords | 実函数論 / 函数解析学 / 調和解析 / フーリエ解析 / 解析学 / 近似論 |
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| Research Abstract |
For singular integrals with variable kernel associated to the surface of the form {x=Ψ(|y|)}, we showed the same result as in the convolution kernel case when the kernel is odd, and Lp boundedness near p=2 when the kernel is even. We could not achieve expected results for more general kernel cases. But, in the case of convolution type kernel, we published 7 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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