Potential analysis for Bergman spaces
| Project/Area Number |
18540169
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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 | Meijo University (2008-2009)
Nagoya University (2006-2007) |
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Principal Investigator |
SUZUKI Noriaki Meijo University, 理工学部, 教授 (50154563)
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| Co-Investigator(Kenkyū-buntansha) |
西尾 昌治 大阪市立大学, 理学研究科, 准教授 (90228156)
下村 勝孝 茨城大学, 理学部, 准教授 (00201559)
山田 雅博 岐阜大学, 教育学部, 准教授 (00263666)
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| Co-Investigator(Renkei-kenkyūsha) |
NISHIO Masaharu 大阪市立大学, 大学院・理学研究科, 准教授 (90228156)
SHIMOMURA Katsunori 茨城大学, 理学部, 准教授 (00201559)
YAMADA Masahiro 岐阜大学, 教育学部, 准教授 (00263666)
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| Project Period (FY) |
2006 – 2009
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| Project Status |
Completed (Fiscal Year 2009)
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| Budget Amount *help |
¥4,050,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥750,000)
Fiscal Year 2009: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2008: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2007: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2006: ¥800,000 (Direct Cost: ¥800,000)
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| Keywords | 放物型作用素 / Bergman空間 / Carleson埋め込み / Toeplitz作用素 / ポテンシャル論 / ベルグマン空間 / 関数解析学 / ポテンシャル解析 / Carleson測度 / テープリッツ作用素 |
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| Research Abstract |
Unifying the Laplace and the heat operators, we introduce parabolic operators on the upper half space and define parabolic Bergman spaces. We study some linear operators acting on them, in particular, we show the boundedness and compactness of Carleson imbedding and Toeplitz operators.
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Report
(6 results)
Research Products
(32 results)
