| Project/Area Number |
24540194
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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 | Tokai University |
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Principal Investigator |
FURUYA Yasuo 東海大学, 理学部, 教授 (70234903)
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| Co-Investigator(Kenkyū-buntansha) |
SAWANO Yoshihiro 首都大学東京, 理工学研究科, 准教授 (40532635)
MATSYAMA Tokio 中央大学, 理工学部, 教授 (70249712)
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| Project Period (FY) |
2012-04-01 – 2015-03-31
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| Project Status |
Completed (Fiscal Year 2014)
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| Budget Amount *help |
¥3,510,000 (Direct Cost: ¥2,700,000、Indirect Cost: ¥810,000)
Fiscal Year 2014: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2013: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2012: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
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| Keywords | Morrey 空間 / weight / Adams不等式 / Adams の不等式 / 特異積分 / ハーディー空間 / 多重線形作用素 / Morrey空間 / Herz空間 |
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| Outline of Final Research Achievements |
We prove the boundedness of multilinear fractional integral operators on product of Herz spaces. We also consider supercritical cases. We introduce new function spaces called B_sigma spaces which unify Morrey spaces and Herz spaces, and prove the boundedness of the Hardy-Littlewood maximaloperator,singular integral operators and fractional integral operators on this space. We obtain the boounded of fractional integral operators on weighted Morrey space. Our result generalizes both Muckenhoupt-Wheeden inequality and Adams inequality.
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